Introduction: Special issue dedicated to Richard Aron

Accepted Manuscript Introduction: Special issue dedicated to Richard Aron

Joseph Diestel

PII: DOI: Reference:

S0022-247X(16)30404-8 http://dx.doi.org/10.1016/j.jmaa.2016.08.006 YJMAA 20642

To appear in:

Journal of Mathematical Analysis and Applications

Received date:

5 August 2016

Please cite this article in press as: J. Diestel, Introduction: Special issue dedicated to Richard Aron, J. Math. Anal. Appl. (2016), http://dx.doi.org/10.1016/j.jmaa.2016.08.006

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

Richard1.jpg

Richard2.jpg

INTRODUCTION BY JOE DIESTEL RICHARD ARON Abstract. This is an introductory letter of Joe Diestel written for the special issue of JMAA dedicated to Professor Richard Aron

1. Part I Of necessity, any discussion of Richard’s legacy extends far beyond his mathematics. It entails many contributions that may well have emanated in his mathematical pursuits but are peculiarly his own. First, it must be mentioned is the generous hospitality Richard and Eleanor Aron extend to visitors (and Kentites!). Jesus Jaramillo recalls visiting Kent while he was still a graduate student and remembers fondly Richard giving him time and advise, as well as opening his house and generally taking care of him. From Juan Seone we find that Richard taught him that Math, Family and Friendship can all be one and that sharing and collaboration were important–important lessons for us all. Maria Acosta reminds us of the amount of energy that the Arons must spend organizing the wonderful meals (and parties)they organize, citing the Sean Dineen 61st birthday celebration with its huge amount of chili and corn bread! Juan Bes points out the common occurrence of Eleanor Aron taking newly arrived visitors, be they graduate students or faculty, to the Aron basement, where they were exposed to a vast collection of pots, pans, cups, dishes, coffee pots, etc. and encouraged to ”take anything you want, for as long as you need it.”–thereby avoiding the need for a shopping trip to Kmart. Next, is an idiosyncrasy of Richard’s: he is always on the lookout for the best deal, a bargain. This should not be taken the wrong way! It is invariably the case that visitors to Kent will find themselves in the pleasant company of the Arons at some restaurant or cultural event, where tickets or costs are minimal because of Richard’s acuity. Jesus Jaramillo recalls Richard showing him prices and offerings unknown to him in Madrid, Jesus’s home town! Larry Harris recalls the 2003 joint American Mathematical Society meeting in Seville, Spain: he and some other participants found reasonably priced student housing several miles from the conference center, accommodations that turned out to be portable bedrooms, aligned in a sort of barracks arrangement; on sending Richard an email, Larry learned that Richard and Eleanor were staying at a plush hotel overlooking the barracks and paying the same price as Larry! 1991 Mathematics Subject Classification. Regards. Key words and phrases. Richard Aron. 1

2

RICHARD ARON

2. Part II Richard ARON is an acknowledged leader in the study of polynomials and analytic functions between Banach spaces. Corollary to this is an expertise in various regularity properties of natural classes of functions with Banach space domains and/or codomains; many delicate (and interesting) results on classes like weak continuous, uniformly norm continuous functions or weakly sequentially continuous analytic functions populate Richard’s papers. From his earliest work it has been clear that an interest in analytic functions between Banach spaces entailed paying close attention to what Aron was doing. Already in the late 70’s he proved, with Paul Berner that if F is an analytic function on an open subset U of the Banach space X to a Banach space Z and X is a closed subspace of the Banach space Y then F can be extended analytically to any open subset V of Y that contains U, so long as Z is complemented in Z**. Plainly, a basic contribution to the subject, this paper remains the most cited of Richard’s with well over 100 citations. If MathSciNet is to be believed, Richard has written more than 100 papers, with 65 different coauthors; naturally, many of his coauthors have written multiple joint papers with him. Among the topics encountered in his research: polynomial approximation, boundaries, approximation property, extension and lifting properties of analytic maps,composition operators (on spaces of holomorphic functions), polynomials on Banach spaces and their zero-sets,weakly compact and compact multilinear operators, hypercyclic operators, linear structures in non-linear settings (lineability), composition ideals of polynomials, compact and p-compact holomorphic mappings, the Bishop-Phelps-Bollobas property; Richard (and his coauthors) have a gift at taking ideas in linear functional analysis and grafting them into a meaningful non-linear setting with interesting, highly nontrivial consequences. Such work opens many new vistas of research and is bound to continue to be cited, ensuring a rich, lasting legacy. 3. Part III We’ve had an Informal (Functional) Analysis Seminar at Kent since January of 1972. It has been held at least four times every year with more meetings frequently through the years. It has evolved from a seminar on Banach spaces to one in abstract analysis. The transformation (some might refer to it as a maturation) started in the early eighties. It is not coincidental that Richard joined the Kent State faculty in the early eighties. On his arrival, he was immediately active in helping the organization of the seminars. In 1984, the idea of having another International Conference on Banach Spaces and Classical Analysis emerged. We had hosted a similar extravaganza in 1979, hosting 200+ mathematicians; this time it was likely to be bigger and we hoped better. It was. Bigger: more than 300 mathematicians attended the two week conference with 90+ hour-long lectures and a multitude of short, informal talks. It was also better: financial support was extended to all who required it. There can be little

INTRODUCTION BY JOE DIESTEL

3

doubt that Richard Aron’s involvment made the difference. He pushed the notion that anyone needing support should get at least the cost of room and board for the duration of the meeting–understanding that promised support from the Conference funds often meant increased funding from the participant’s home support system. It also inspired a number of Kent State participants and their friends to contribute ideas about improving the experience. Instead of the usual donuts and coffee/tea for morning consumption, fresh fruit and juices spruced up the mornings. T-shirts with a picture of Stefan Banach were produced and sold–more than a thousand of them with 5 dollars profit each, money which supported 25 participants. Advertising of local eateries in the Conference schedules supported a number more. As each idea for improving the meeting emerged Richard’s deft hand guided it to fruition. This organizational talent was natural for Richard–it was just another example of his care for visitors to his Department. Note: This should be in the bio, probably near the earlier blurb.

WARM REGARDS TO PROFESSOR RICHARD ARON RICHARD ARON Abstract. These are the warm words of the contributors to the special issue of JMAA dedicated to Professor Richard Aron

1. Pamela Gorkin I really got to know Richard about ten years ago, when I invited him to Bucknell University as a distinguished visitor. I was impressed by his ability to communicate his subject and the work he had done, but I also knew that Richard was fun to be around. The week he spent at Bucknell was a pleasure he started by posing many questions (thousands of questions), suggesting lots of ways to attack the problems (thousands of ways), and telling very funny stories (thousands of funny stories). The visit culminated in a paper that appeared in 2007. Since then, Richard has been a person I turn to for all kinds of advice, as well as someone who has encouraged many students to pursue future study in mathematics. Richard invited two Bucknell students and me to Kent State where he showed the students that mathematicians are friendly, funny, and great cooks (or, at least, people who really enjoy eating). For this reason, I felt it was appropriate to write an article with a student and dedicate it to Richard a great mathematician, teacher, coauthor, and friend. 2. Jesus A. Jaramillo We would like to add in our paper the following simple words: ”Dedicated to Richard M. Aron, teacher, colleague and friend.” 3. M. S. Moslehian (Mashhad, Iran) Richard has been one of the editors-in-chief of J. Math. Anal. Appl. (JMAA) since 2006. Upon publishing several papers in JMAA, I have observed that this journal has been improved and turned into one of the prestigious journals in the field of mathematical analysis. I would like to sincerely appreciate Richard (and other editors) for the kind efforts on providing effective reports for authors. 4. Juan Alberto Conejero Thanks for all your efforts stimulating young mathematicians reseaarch, with interesting questions and problems, and thanks for connecting us with other mathematicians around the world. 1991 Mathematics Subject Classification. Regards. Key words and phrases. Richard Aron. 1

2

RICHARD ARON

Best 5. Pablo Jimenez Rodriguez Thank you, Richard, for the great man that lies beyond the great mathematician that you are, from the Spanish-Chinese association in KSU. Un abrazo, . ´ lveda 6. Juan B. Seoane Sepu I arrived in Kent in the early 2000’s and Richard took me as part of his family right away. Many things can be said about his Mathematical excellence, and this volume is certainly a proof of it. Just a very small example is the fact that (in my case) most of my current collaborators are mathematicians I met in Kent more than ten years ago. However, I’d like to emphasize a different aspect of Richard’s influence on me. He taught me that Math, Family and Friendship can all be one. He taught me the importance of sharing and collaborate, traveling to places and bringing people together, studying new stuff and moving on from old ones. I learnt from him to be kind, generous, open, and what to be the best host means. That one can be funny and serious at the same time. That living the life can be perfectly compatible with being in love with Mathematics. One day you are talking to him about your dissertation, the next you are taken to listen to the Cleveland Orchestra and the next you find yourself and Richard, like any “two yutes”, mowing the lawn and goofing around. One never knows what to expect from Richard, every day was an adventure for me. Thank you, Richard, for being there for all of us, for your support, and for being the perfect mathematical father anyone would want to have. 7. Chuan-Fu Yang Dear Professor and Editor Richard Aron, I truly appreciate your great contribution to mathematics, and in particular, your having done a lot of selfless dedication to the editorial office of JMAA. I’d like to take this opportunity to wish Professor Richard Aron the very best of luck in your job, every success in your future endeavours, good health and a happy family. Best regards, Chuan-Fu Yang, 8. Domingo Garcia and Manolo Maestre It is our privilege to be friends of Richard. One of the characteristics defining him is that he is always asking interesting mathematical questions and offering helpful suggestions. He has been very much generous in donating his time and effort to help young people. A deep mathematician of extraordinary ability and warm personal charm, we are deeply indebted to him both mathematically and personally. He is one of the kindest person we have ever known. We fell that his (and Eleanors) house is our home.

WARM REGARDS TO PROFESSOR RICHARD ARON

3

9. Bernardo Cascales I could say a lot of things about my colleague and friend Richard Aron. Many of the things that I could say have been likely already said by someone else. Anyhow, I will try to isolate and stress on the essence of what Richard means for me, and my family with a few sentences that explain a lot: I have known Richard for a very long time, and we have had a fruitful mathematical relationship and collaboration over the years. I have visited Kent many times. Richard has visited me at my place. We have met here and there all over the world. He always have a fantastic attitude regarding maths and also from the point of view of enjoying the company and the place. I learned from him how to try to be positive about almost everything and also to look at he positive side of the people. I learned from him what the perfect host should do. I learn from him how to take care of little and important things: to feed wild birds, for instance. Many of the things that I learned from Richard were things that me, and my family learned, from Richard and Eleanor. How we feel about Richard and Eleanor is easily explained when taking into account that after my family and me spent the academic year 2009-2010 in KSU with Richard and Eleanor as our hosts, during the flight back Detroit-Madrid, june 2010, my wife kept most of the flight crying. Thanks Richard. 10. Sergii Myroshnychenko I have known Dr. R. Aron since the first day at the math department at Kent State University. He has always been not just an extremely nice and kind person, but a bright and intellectual mathematician. As one of the members of the Non-linear seminar and students in his classes, I have always admired his approach to work, his enthusiasm and mind. I know for a fact that all my peers share this idea and feel grateful to call him their instructor and advisor. At the seminars that he organized we have always had a friendly and welcoming environment that encouraged us to learn and understand. We all are extremely grateful to Dr. Aron for the support, encouragement, laughs and knowledge. ´ 11. Mar´ıa Angeles Alfonseca Although I have not had the pleasure of working with Richard Aron, I have had the opportunity to learn about his work from his very nice seminar talks, and those of his collaborators and students. I am also very grateful to Richard and Eleanor for their hospitality during my visits to Kent state, and for taking me along to the Cleveland orchestra concerts. 12. Dmitry Ryabogin Richard Aron is the motor of the department of Mathematical Sciences at Kent State. It is impossible to overestimate His impact on our departmental life, His constant help and His encouragement. It is not only His mathematical influence on all of us: seminars, quests from all over the world, hospitality, His involvement in incredibly many things around and in the department. It is mainly His unbounded

4

RICHARD ARON

energy, kindness and good willingness. People like Richard move this world forward ! I want to use this opportunity to thank You, Richard, for everything You have done to me and all friends around me. I wish You all the best, health, long life and being with us for more and more years. Thank You, Richard!

WARM REGARDS TO PROFESSOR RICHARD ARON

5

13. Yun Sung Choi, Ju Myung Kim, Sun Kwang Kim, Sung Guen Kim, Han Ju Lee Dear Richard, We (Yun Sung Choi, Ju Myung Kim, Sun Kwang Kim, Sung Guen Kim, Han Ju Lee), your research branch in Korea, send you our big congratulation and deep respect on the occasion of your retirement. We cannot thank enough for your mathematical intelligence and invited lectures in Korea, whose impact has gotten our academic standard higher. We also cannot forget your heartful hospitality during our visit to Kent, and are always happy to recall the dinners at your Banach Conference House. Thank you so much again ! We wish this retirement to become another beautiful turning point of your life, and also you to keep healthy more than 100 years old. Respectfully yours, Your Korean Research Branch ( Yun Sung Choi, Ju Myung Kim, Sun Kwang Kim, Sung Guen Kim, Han Ju Lee ) 14. Sun Kwang Kim I’d learned a lot from you. I wish that you are always happy! Sincerely yours, Sun Kwang Kim. 15. Dmitry Ryabogin

CURRICULUM VITAE RICHARD MARTIN ARON March 29, 2016 Date of hire: Current rank: Graduate Faculty Status:

1982 Professor, Department of Mathematical Sciences, Kent State University Full Member 1981

EDUCATION 1965 B.S. 1965-69 1969-70 1971 Ph.D. 1983 M.A.(jure officii)

Union College, Schenectady, New York University of Rochester, Rochester, New York, National Science Foundation Trainee Instituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro, Brazil University of Rochester, Rochester, New York Trinity College, University of Dublin

PROFESSIONAL EXPERIENCE Academic Positions: 1969-70 1970-71 1971-74 1972-73 1974-78 1978-82 1982-86 1982-83 1986-2015

Assistant, Instituto de Matematica, Rio de Janeiro, Brazil Postdoctoral Fellow, University of Kentucky Assistant Professor, University of Kentucky (on leave, Trinity College, University of Dublin) Lecturer, Trinity College, University of Dublin Fellow, Trinity College, University of Dublin Associate Professor, Kent State University (on leave, Trinity College, University of Dublin) Professor, Kent State University

Visiting Positions: 1972-73 1977-78 1981-82 1982-83 1986-87 Fall 1989 1992-93 Jul-Aug-1995 Spring 1997 September-00 - February-01 March-01 - July-01

Visiting Lecturer, Trinity College, University of Dublin Visiting Professor, Universidade Federal do Rio de Janeiro, Brazil Visiting Associate Professor, Kent State University Trinity College, University of Dublin Visiting Professor, University College Dublin Visiting Professor, Universidad Complutense de Madrid Visiting Professor, University College Dublin Visiting Professor, Universidad de Buenos Aires, Argentina Visiting Professor, Universidade de Coimbra, Portugal Visiting Professor, Trinity College Dublin Visiting Professor, Universidad de Valencia, Spain

Visiting Positions: (short-term positions) Jun-Sep-1975 Sep-Oct-1976 Mar-1979 Jun-1979

Visiting Visiting Visiting Visiting

Professor, Universidade Federal do Rio de Janeiro, Brazil Professor, Universite de Nancy, France Professor, Universities of Madrid and Santiago, Spain Professor, Universite de Nancy, France

1

Visiting Positions: (short-term positions) (cont’d) Jun-Aug-1981 Apr-1983 Jun-Jul-1983 May-Jun-1984 Jun-Jul-1986 Dec, 1987 June-Aug-1989 June-1991 September-1992 Jul-Aug-1993 Oct-1993 Jul-Aug-1995 Sept-Oct-1999 April, 2004 April - June, 2006 April - June, 2007 November, 2007 September-08 - January-09 February-09 - June-09 February-11 May-12 October-13

Visiting Professor, Universidade Federal do Rio de Janeiro, Brazil Visitor, Institute of Mathematics, Warsaw, Poland Visiting Professor, Universite de Bordeaux, France Professor, Universidad de Madrid (Complutense) Visiting Professor, Universidad de Madrid, Universidad de Valencia, Spain (supported in part by an NSF Short-Term study grant, jointly with Joe Diestel) Visitor to the Polish Academy of Sciences (Warsaw & Krakow). Visiting Professor, Universidade Federal do Rio de Janeiro and Universidade Estadual de Campinas Visiting Professor, Universidad de Valencia, Spain Visiting Professor, Universidad de Valencia, Spain Visiting Professor, Universidade Federal do Rio de Janeiro, Brazil Visitor, Pohang Institute of Science and Technology, Korea Visiting Professor, Universidad de Buenos Aires, Argentina Visiting Professor, Univ. de San Andr´es (Buenos Aires, Argentina), Fulbright Fellow. Distinguished Visiting Professor, Bucknell University, Pennsylvania. Distinguished Visiting Professor, Universidad Complutense de Madrid Visiting Professor, Universidad de Buenos Aires Visitor, Postech (Pohang, Korea) Fulbright Fellow, University College Dublin, Ireland Visiting Professor, Universidad de Valencia, Spain Workshop presenter, IUMPA (Univ. Pol. Valencia), Bishop-Phelps and related theorems. Mini-course on Banach algebras of holomorphic functions on Banach spaces, and hypercyclicity, Univ. Complutense de Madrid. Mini-course on H ∞ −functions in one, several, and infinitely many variables, Univ. of Tartu, Estonia.

RESEARCH AWARDS, GRANTS AND FELLOWSHIPS 1972-73 Sep-Oct-1976 1976-77

National Science Foundation Grant Irish NSC-French CNRS Grant, (Visiting Professor, Universite de Nancy, France) European Research Office, London, (U. S. Army) Grant, Principal Investigator(jointly with S. Dineen): Vector space measures and applications Jun-Jul-1983 Irish NBST-French C.N.R.S. Grant - (Visiting Professor, Universite de Bordeaux, France Sum-1985 N.S.F. Grant, C.S.U.I. Grant, Argonne Universities Grant, International Mathematical Union Grant for Conference on Banach Spaces and Classical Analysis, Summer 1985 (jointly with Joe Diestel) Jun-1986 N.S.F. Grant, short-term cooperative visit to Spain (jointly with Joe Diestel) Fall, 1987 K.S.U. Grant for informal analysis seminars (jointly with Andrew Tonge & Joe Diestel) July,’88-Sept,’89 N.S.F. Grant, cooperative visit to Madrid and Seville, (jointly with J. Diestel, A. Tonge & R.H. Lohman) Grant for Microprogram on Banach Spaces, University of California at Berkeley. July, 1988 Jan,’92-June,’95 N.S.F. Grant (Algebras in Analysis, jointly with Joe Diestel), joint program with the Polish Academy of Sciences. March-1993 Grant from the US-Spain Joint Committee for Cultural and Educational Cooperation. Grant from the Institute for Mathematics and its Applications for a Conference on April-1994 “Polynomial Inequalities.”

2

February-1996 Fall-1996 December-1997 April-1999 Sept-Oct, ’99 Fall, ’00 Spring, 05 February-2007 March-2007 September-08 - January-09 2009-2011 February-11 Spring, 14 April - June, 2014 January-2015

May-2015 June-2015

Participant: Special Session on Infinite Dimensional Convexity, MSRI (Berkeley), February, 1996 Grants from the N.S.F., C.S.U.I., and I.M.A. (jointly with Joe Diestel) for a Conference on Modern Banach Space Theory, December, 1996. National Research Council (COBASE) Distinguished Teaching Award, College of Arts & Sciences, Kent State University C.I.E.S. (Fulbright) Grant to the Univ. de San Andres, Buenos Aires, Argentina Finalist, Distinguished Teaching Award, Kent State University CSUI Grant for Conference on Infinite Dimensional Analysis, February, 2005. Univ. de Valencia (Research visitor). Univ. of Montana (Evaluator: Department of Mathematical Sciences). C.I.E.S. (Fulbright) Grant to University College Dublin, Ireland. MICINN Project MTM2008-03211 (Spanish Government Research Grant) Research Visitor, Universidad Polit´ecnica de Valencia, Spain Elsevier Grant for Conference on Universality, Kent State University, April, 2014. C.I.E.S. (Fulbright) Grant to the Univ. Torcuato di Tella, Buenos Aires, Argentina Infinite Dimensional Function Theory: Present Progress and Future Problems, Organizer, with support from a Fulbright Alumni Grant, the Irish Mathematical Society, the National University of Ireland, Galway, University College Dublin, and Trinity College Dublin. Co-organizer, Invitation to Banff International Mathematics Research Station, week-long grant to work with P. Gauthier, M. Maestre, and V. Nestoridis on Banach algebras of analytic functions. Co-organizer, Research in Pairs, Oberwolfach, month-long grant to work with P. Gauthier, M. Maestre, and V. Nestoridis on Banach algebras of analytic functions.

RESEARCH RELATED ACTIVITIES Primary Research Interests: Functional Analysis Complex Analysis Approximation Theory Specific Research Interests: Banach Algebras Disc and Polydisc Algebras Infinite Dimensional Holomorphy Invited Conference Presentations: 1972 1973 1973 1973 1974 1974 1975 1975 1977 l977 l977

Fiftieth Anniversary of the Dublin University Mathematical Society Dublin Conference on Infinite Dimensional Holomorphy Conference on Infinite Dimensional Holomorphy, University of Kentucky Conference on Infinite Dimensional Holomorphy, Northern Illinois University Conference on Analytic Functions, Krakow, Poland Conference on Weighted Approximation, Bonn, Germany Colloque d’Analyse Fonctionelle, University de Bordeaux, France Conference on Infinite Dimensional Holomorphy, University de Campinas, Brazil Congress Brasileiro de Analise, IMPA, Rio de Janeiro Conference on Approximation Theory and Functional Analysis, Campinas, Brazil Conference on Infinite Dimensional Holomorphy, Rio de Janeiro, Brazil

3

1981

Conference on Holomorphy, Approximation Theory and Functional Analysis, University Federal do Rio de Janeiro, Brazil Semester on Banach spaces, Warsaw, Poland 1983 Co-organizer, with Joe Diestel, of Banach Spaces and Classical Analysis, at K.S.U., July 1985 27-Aug. 11, 1985. Co-organizer: Informal Analysis Seminars, at KSU (with J. Diestel, P. Enflo, R.H. Lohman, 1986 & A. Tonge). Conference on Functional Analysis, El Escorial, Spain. 1988 Conference on Computer Assisted Proofs in Analysis, Univ. of Cincinnati. 1989 Conference in honor of Leopoldo Nachbin, Campinas, Brazil 1989 1989 Approximation theory and holomorphy, Madrid, Spain Conference on Functional Analysis, Jarandilla de la Vera, Spain 1990 Conference on Polynomials (“Polynomial norms: Real and Complex Cases,” May 2, 1991), 1991 Paris, France. 1991 ELAM X (Escuela latinoamericana de matem´atica, C´ordoba, Argentina. Conference on Functional Analysis, M´erida, Venezuela. 1992 Conference on Analysis, Wangerooge, Germany. 1992 1993 Mathematical Symposium, Dublin Institute for Advanced Studies. Conference on Abstract Analysis, Kruger National Park, (organizing committee, plenary 1993 speaker). 1993 Conference on Partial Differential Equations and Abstract Analysis, Han-sur-Lesse, Belgium. Conference on Function Spaces, Edwardsville, Illinois. 1994 Conference on polynomials and holomorphy in infinite dimensions, Dublin, Ireland. 1994 Conference on Functional Analysis, Madrid, Spain. 1995 1996 “Infinite dimensional function theory,” (a series of lectures at the Spring School on Functional Analysis, organized by the Faculty of Mathematics and Physics, Charles University, Prague, Paseky nad Jizerou, April 21-27, 1996.) Conference on Functional Analysis, Madrid, Spain. 1997 Conference on Function Spaces, Edwardsville, Illinois. 1998 1999 28th Frolik Winter School on Functional Analysis, Kristanovice, Czech Republic. September-1999 Univ. de La Plata, Argentina, Polinomios simetricos en espacios de Hilbert, at the Annual Meeting of the Argentine Mathematical Society December-1999 Univ. Complutense de Madrid, Spain Some properties of multilinear mappings, at the Sixth Conference on Infinite Dimensional Analysis 2001 CIMAT (Centro de Investigaci´on de Matem´atica), Guanajuato, Mexico 23rd Nordwestdeutsches Funktionalanalysis-Kolloquium, Paderborn, January 20, 2001, Lin2001 ear subspaces of a Banach space satisfying certain conditions 2002 Scientific Organizing and Program Committee; Main Speaker, International Conference on Infinite Dimensional Function Theory in Pohang, a Satellite Conference to the International Congress of Mathematics 2002 in Beijing, August 12-16, 2002. Coorganizer (with J. Jaramillo, J. Llavona, and A. Tonge), Special Session on “Polynomials 2003 and multilinear mappings in infinite dimensions,” at the joint meeting of the American Mathematical Society and the Real Sociedad Matem´atica de Espan ˜a, Seville, June, 2003 (Spain). 2003 Function theory on infinite dimensional spaces, December, 2003, Madrid. 2004 Main speaker, Second International Course of Mathematical Analysis in Andalucia, September 24 - 28, 2004 (Granada, Spain). 2004 Invited Speaker, Special trends in operator theory and Banach spaces, AMS Regional Meeting, Pittsburgh, Pa, November, 2004. (Zeros of polynomials) 2005 Invited speaker, Applications and Generalizations of Complex Analysis, Aveiro (Portugal), June, 2005. 2005 Main speaker, IVth International Workshop on Functional Analysis, Li`ege (Esneux), Belgium, September 5 - 9, 2005. 2007 Main speaker, Infinite dimensional analysis X, Univ. Complutense de Madrid, December, 2007. 4

2008 Speaker, Universality and complex analysis, Oberwolfach, February-2008, A Banach space of universal functions for H ∞ of the ball. 2008 Main speaker: Spring School in Analysis, Paseky Czech Republic, April 13-19, 2008, “The Bishop-Phelps-Bollobas Theorem for operators.” 2009 Main speaker, V-Encuentro-Analisis-Funcional, Univ. Murcia (Spain), February, 2009. 2009 Colloquium, Univ. Mons-Hainaut, March-2009. 2009 Colloquium, Univ. Eichstaett, April-2009. 2009 Main speaker, IDAT Conference, Yaremche (Ukraine), May, 2009. 2009 Invited speaker, Meeting in honor of Fernando Bombal, Aranjuez, June, 2009. 2009 Main speaker, Congreso internacional de An´lis Matem´atico (en memoria del professor Antonio Aizpuru Tom´as), Jerez, September, 2009. 2009 Main speaker, Function theory on infinite dimensional spaces X, Madrid, December, 2009. 2010 Speaker and co-organizer, Special session on Polynomials and multivariate analysis, AMS Regional Meeting, Lexington, KY, March, 2010. 2010 Invited speaker, Function Spaces VI, Southern Illinois University, Edwardsville, May, 2010. 2010 Plenary speaker, Functional Analysis in Valencia, to honor the 80th birthday of Professor Manuel Valdivia, June, 2010. 2011 “Surjective functions without surjective restrictions,” February 10, 2011, on the occasion of the 100th anniversary of RSME (Univ. Polit´cnica de Valencia) 2012 “Problems related to Lineability,” May, 2012, (Bedlewo, Poland), in honor of Professor Dietmar Vogt. 2012 “Cluster value theorems for holomorphic functions on a Banach space,” September, 2012 (Palermo, Italy), at the 5th Conference on Integration and Vector Measures 2013 “Algebras of holomorphic functions on infinite dimensional domains: Background and Problems,” at the 7th ILJU School of Mathematics-Banach spaces and related topics, Gyeongju, Korea, January - February, 2013. 2013 “Norm attaining ‘things,’ ” at the Sugar (Summer) Symposium of the Real Analysis Exchange, S˜ao Carlos, Brazil, June, 2013. 2013 “Mathematical Congress of the Americas,” co-organizer (with V. Dimant and M. Fern´andez) of a special session, August, 2013. 2013 “After the Bishop-Phelps theorem,” at the Kangro-100 Conference, Tartu, Estonia, September, 2013. 2014 “Symmetric holomorphic functions,” at the meeting “Function Theory on Infinite Dimensional Spaces XII”, Madrid, 4-7 February, 2014. 2015 “Properties of the space of homomorphisms on H∞ (B), (Conference in honor of Vassili Nestoridis, Heraklion (Crete), 18 - 22 May, 2015. 2015 “Subspaces of the zero set of a polynomial,” at Genericity & small sets in analysis, Esneux (Liege), 26-28 May, 2015. 2015 “Lineability of norm-attaining functionals, ” (Conference in honor of Rafael Pay´a), Granada, 10 - 12 September, 2015. 2015 “Lineabilidad: Demasiado de algo bueno?,” (Conference in honor of Fernando Bombal), Madrid, 19 September, 2015. 2015 “Homomorphisms on H∞ (B),” (Workshop for Jovenes investigadores), Madrid, 22 - 24 September, 2015. 2015 “Complaint about lineability,” (Conference in honor of Manuel Maestre), Valencia, 25 - 27 September, 2015. 2015 “Linearity in non-linear situations: Finding Good in a Mess,” University of Mississippi, October, 2015. 2016 “Algebras of symmetric holomorphic functions and groups,” (Conference on infinite dimensional analysis XIV), Madrid, February-2016.

5

Invited Talks: 1970 1973 1973 1973 1974 1975 1975 1975 1976 1977 1978 1979 1979 1979 1979 1979 1980 1981 1981 1981 198l 1982 1983

Sao Jose dos Campos, Brazil Dublin Institute for Advanced Studies Universitat Trier Kaiserslautern, Germany Ruhr-Universitat Bochum, Germany Kent State University, Kent, Ohio Paris, France (Sem. Lelong) Universite de Nancy, France Universidade de Sao Paulo, Brazil University of Munich, Germany Universidade de Campinas, Brazil Universidade de Sao Paulo, Brazil Gesamthochschule Paderborn, Germany Universidad de Madrid, Spain Universidad de Santiago, Spain Universite de Nancy, France Han-sur-Lesse, Belgium Oberwolfach, Germany Universidad de Madrid, Spain Universidade de Campinas, Brazil Cleveland State University, Cleveland, Ohio University of Rochester University of Maryland Mathematical Institute, PAN, Warsaw, Poland, Polydisc algebras in infinite dimensions. (April) 1983 Banach Center, Warsaw, Poland, Analytic functions on Tsirelson’s space. (April) 1983 University of Krakow, Poland, Analytic functions on Tsirelson’s space. (April) Gesamthochschule Essen, Germany, Analytic functions on Tsirelson’s space. (May) 1983 Gesamthochschule Paderborn, Germany, Spectra of spaces of analytic functions in infinite 1983 dimensions. (May) 1983 University of Rochester, Analytic functions on Tsirelson’s space. (November) Wright State University, A survey of recent results and proofs related to the Stone Weier1984 strass theorem. (April) 1984 Colegio Universitario de Vigo, Nuevas demonstraciones del teorema Stone Weierstrass. (May) 1984 Universidad de Santiago, Homomorfismos sobre espacios de funciones anal´ıticas. (May) 1984 Universidad de Valencia, Productos tensoriales de espacios de Tsirels on. (June) 1984 Universidad de Valencia, Algebras del polidisco en dimension infinita. (June) 1985 Youngstown State University, Polynomial approximation of Continuous and differentiable functions. (February) Cleveland State University, Homomorphisms on Spaces of Differentiable Functions. (May) 1986 1986 Universidad de Madrid, Homomorfismos sobre espacios de funciones diferenciables, Una on de funciones holofuncion geom´etrica sobre la bola de un espacio de Banach, Factorizaci´ morfas, (June). 1986 Universidad de Valencia, Una funcion geom´etrica sobre la bola de un espacio de Banach, Factorizaci´ on de funciones holomorfas, (June). Dec-1986 Institute for Advanced Study, Mathematical Symposium, Homomorphisms and Continuity.

6

Jan-1987 Feb-1987 May-1987 May-1987 July-1987 Oct-1987 Dec-1987 Feb-1988 Mar-1988 June-1988 Feb-1989 June-1989 June-1989 August-1989 August-1989 November-1989 January-1990 January-1990 February-1990 June-1990 June-1990 June-1990 October-1990 April-1991 May-1991 June-1991 August-1991 March-1992 May-1992 September-1992 September-1992 October-1992 November-1992 May-1993 Jul-Aug-1993 March-1994 November-1994 January-1995 April-1995 September-1996 May-1997 June-1997 July-1997 July-1997 December-1997 February-1998 June-1998 June-1998

University College Cork, A geometric function defined on the ball of a Banach Space. St. Patrick’s College, Maynooth, The maximal ideal space of H∞ of an infinite dimensional ball. Universitat Gesamthochschule Oldenburg, A geometric function defined on the ball of a Banach space. Universitat Zurich, Universitat Munchen, Universitat Gesamthochschul Essen, Universitat Gesanthochschule Paderborn, Infinite Dimensional Polydisc Algebras. University of Ljubljana, Infinite Dimensional Polydisc Algebras. Informal Functional Analysis Meeting, Kent State, Infinite Dimensional Polydisc Algebras. Polish Academy of Sciences (Warsaw & Krakow), Infinite Dimensional versions of A(D) and H∞ (D). Cleveland State University, Interpolation on co . Wright State University, Analytic functions on co . Universidad de Zaragoza, Analytic functions on co , Infinite dimensional polydisc algebras. Bowling Green State University, Functions on co . Universidad Complutense de Madrid, La λ- propiedad y la propiedad de representaciones for desenvolvimentos convexos. Universidad de Vigo, Spain, Polinomios sobre c0 . Universidade Federal de Rio Grande Do Sul, Brazil, Aproximac˜ ao polinomio. Universidade de Sao Paulo, Brazil, A propriedade λ sobre espacos de Banach, Algebras de ao infinita. polidisco em dimens˜ on infinita, La λUniversidad de Extremadura, Spain Algebras de polidisco en dimensi´ propiedad sobre espacios normados. (Univ. Complutense de Madrid), Colloquium, Polynomial approximation. (Trinity College Dublin), Analytic functions on £1 . (Oakland University, Michigan), Colloquium, The λ-property in Banach spaces. on infinita. (Universitat de Barcelona), Algebras de polidisco en dimensi´ (Universidad de Sevilla), Algebras de polidisco en dimensi´ on infinita. (Universidad de Granada), La λ-propiedad sobre espacios normados. (Conference on Functional Analysis in Honor of Manuel Valdivia, Pen ˜´ıscola, Spain), Weakly continuous analytic functions. (Univ. of Pittsburgh), Algebras of analytic functions. (Universidad Complutense de Madrid), Polinomios. (Universidad de Valencia), Estimaciones para la norma de un polinomio, Continuidad, algebras de funciones anal´ıticas. polinomial, Fronteras de ´ (Universidade Federal do Rio de Janeiro, Brazil), Polinomios. (Texas A & M Univ.), Analytic functions on c0 . (Cleveland State Univ.), Polynomials on £2 . on entre la norma de un polin´ omio y sus coefi(Universidad de Santiago, Spain), La relaci´ cientes, Algebras del disco en bolas de espacios de Banach. (Universidad de Valencia,) “La relaci´on entre la norma de un polin´omio y sus coeficientes.” University College Cork, The relation between the norm of a polynomial and its coefficients. Universit¨at Gesamthochschule Paderborn, Regularity and algebras of analytic functions in infinite dimensions. Universit¨at Zu ¨rich, Banach algebras of analytic functions on a Banach space. ao entre a norma de um polin´ omio e seus coefiUniversidade de S¨ao Paulo, A rela¸c¨ oes anal´ıticas. cientes, Regularidade e algebras de fun¸c¨ University of Kentucky, The polydisc algebra in infinite dimensions, Penn State University (Shenango Campus), Mathematics and Hostess Ho-Ho’s. Washington University (St. Louis), The relation between the coefficients of a polynomial and its norm. Bowling Green State University, Analytic functions on a Banach space. Miami University, Polynomials in many variables. Univ. de Santiago, Zeros de polinomios. Univ. de Viseu, On the arithmetic-geometric mean. Univ. de Extremadura Zeros de polinomios Univ. de Valencia, Zeros de polinomios. Univ. Complutense de Madrid, On the Michael Problem. 7 Wright State University, Zero subspaces of polynomials. National Technical University, Athens, Zero subspaces of polynomials and Symmetric functions on £2 . Hungarian Academy of Sciences, Budapest, Zero subspaces of polynomials.

omios, on the occasion of the ThirNovember-1998 Universidade Federal do Rio de Janeiro, Zeros de Polinˆ tieth Anniversary of the Instituto de Matematica of UFRJ. oes sim´etricas sobre £2 . November-1998 Univ. Federal Fluminense, Func˜ omios. November-1998 Univ. Estadual de Campinas, Zeros de Polinˆ ao. November-1998 Univ. de S˜ao Paulo, Operadores hiperciclicos e operadores de composic˜ February-1999 Case Western Reserve University, Subspaces in the zero set of a polynomial omios September-1999 Instituto Argentino de Matem´atica, Ceros de polin´ November-2000 University College Galway, Algebras of symmetric holomorphic functions December-2000 University College Cork, Searching for linearity December-2000 Dublin Institute for Advanced Studies, Linearity in non-linear problems January-2001 Oldenburg, Germany January-2001 Waterford Institute of Technology, The Cantor set and fixed point theorems February-2001 Maynooth College, Algebras of symmetric analytic functions Queens University Belfast, Algebras of symmetric analytic functions February-2001 February-2001 National University of Ireland, Maynooth College, Algebras of symmetric analytic functions March-2001 Universidad Complutense de Madrid, Conjuntos de continuidad sucesionalmente debil de polinomios April-2001 Universidad de Murcia, Conjuntos de continuidad sucesionalmente debil de polinomios April-2001 Universidad de Granada, Conjuntos de continuidad sucesionalmente debil de polinomios and Ceros de polinomios April-2001 Universidad de C´adiz, Ceros de polinomios May-2001 Real Academia de Ciencias, Madrid, Linealidad en problemas nonlineales December-2001 CIMAT (Guanajuato, Mexico), Linealidad en problemas nonlineales October-2002 University of Memphis, Linearity in non-linear situations November-2003 University of Uppsala (Sweden), Linearity in non-linear situations June-2004 Jagiellonian University (Krakow, Poland), Zeros of polynomials: A Survey atica May-2005 Univ. Cadiz (Spain), Propiedades buenos y malos en la matem´ May-2005 Univ. Cadiz (Spain), Algebraic and analytic properties of linear and multilinear mappings June-2005 Univ. Coimbra (Portugal), Algebraic and analytic properties of linear and multilinear mappings November-2005 Univ. S˜ao Paulo (Brazil), Propiedades algebraicas e continuas de formas multilineais; Estrutura linear em contextos nao lineares May-2006 Univ. Complutense de Madrid (Spain), em Ceros de polinomios, (Colloquium del Departamento de An´alisis Matem´atico). June-2006 Univ. Complutense de Madrid (Spain), Sumas y productos de cosas malas, (Colloquium de la Facultad de Ciencias Matematicas). omios. June-2006 Univ. Zaragoza (Spain), Ceros de polin´ March-2007 Oakland University (Michigan), Linearity in non-linear situtions, March-2007 University of Montana, Linearity in non-linear situations. May-2007 Universidad de San Andr´es, Buen comportamiento de conjuntos de malas funciones. Universit´e Laval, Cluster sets for H ∞ on infinite dimensional balls. March-2008 October-2008 National University of Galway, Cluster sets in finite and infinite settings November-2008 Queens University Belfast, Cluster sets in finite and infinite settings February-2010 Univ. North Carolina, Chapel Hill, Cluster set theorems for H ∞ functions. March-2010 University of Kentucky, Symmetric polynomials on C[t, ∞], AMS Regional Meeting. November-2010 University of Mississippi, Surjections from large spaces onto small ones.

8

Universidad de Valencia and Universidad Jaume I (Castellon), Problemas sobre polinomios on infinita en dimensi´ April-2011 Holy Cross College, Worcester, MA. Cluster values of bounded analytic functions on the ball of a Banach space, invited speaker, AMS Regional Meeting, Special Session on Complex Analysis and Banach Algebras. December-2011 Univ. College Dublin, Surjective mappings without surjective restrictions. May-2012 Universidad Complutense de Madrid, “Problemas SOBRE lineabilidad y problemas CON lineabilidad.” September-2013 “p−compact holomorphic mappings,” Ohio State University. October-2013 “Lineability,” Univ. of Tartu. May-2014 “Noticias frescas sobre lineabilidad,” Univ. Buenos Aires. ´ lgebras de funciones analiticas,” Univ. Buenos Aires. May-2014 “A March-2016 “Symmetric holomorphic functions and groups,” Bowling Green State University. Reviewer: February-2011

Mathematical Reviews ¨r Mathematik Zentralblatt fu

Editorial work: Journal of Mathematical Analysis and Applications (from October, 1989) (Associate Editor) (from July, 2006: Editor-in-chief ) Guest Editor, JMAA, 297, 2 (Sept. 15, 2004), in honor of the eightieth birthday of John Horv´ath Revista Matem´atica (Univ. Complutense de Madrid), 1989-2000. Proceedings of the Royal Irish Academy (Section A), Consultative Committee Guest Editor, Topology (Proceedings of the Conference on Infinite Dimensional Analysis and Topology, May-2009). Revista de la Real Academia de Ciencias Exactas, F´ısicas y Naturales (Serie A, Matem´aticas), RACSAM, Scientific Committee. PROFESSIONAL SOCIETIES AND HONORARIES Phi Beta Kappa (Chapter Vice President (1996-98), Chapter President (1998-2000) Sigma Xi Phi Beta Delta American Mathematical Society Mathematical Association of America London Mathematical Society Irish Mathematical Society Academico Extranjero de la Real Academia de Ciencias Exactas, Fisicas y Naturales de Espan ˜a (Corresponding member of the Royal Academy of Exact, Physical, and Natural Sciences, Spain) Associate Member, Pohang Mathematics Institute (September 1, 2007 - August 31, 2010)

RESEARCH PUBLICATIONS 1. A characterization of holomorphic germs of arbitrary type, Atas do 3◦ Coloquio de Matematica, Sao Jose dos Campos, Brazil 1970. 2. Sur la topologie bornologique pour l´espace d´ applications holomorphes, Comptes Rendus de l’Academie des Sciences de Paris 272(1971), 872-73. 3. Holomorphic functions on balanced subsets of a Banach Space, Bulletin of the Amer. Math. Soc. 78(1972), 624-27. 4. A theorem on holomorphic mappings into Banach spaces with basis, (with Joseph Cima), Proc. of the Amer. Math. Soc. 36, No. 1 (1972), 289-92. 9

5. Holomorphy types for open subsets of a Banach space, Studia Math. 45(1973), 273-89. 6. The bornological topology on the space of holomorphic mappings on a Banach Space, Math. Ann. 202(1973), 265-72. 7. Tensor products of holomorphic functions, Indag. Math. 35, No. 3 (1973), 192-202. 8. Entire functions of unbounded type on a Banach space, Bollettino U.M.I.(4), (1974), 28-31. 9. Compact holomorphic mappings on Banach spaces and the approximation property, (with Martin Schottenloher), Bull. A.M.S. 80(1974), l245-49. 10. The approximation property for spaces of holomorphic functions on a Banach space, function spaces and dense approximation, Bonner Mathematische Schriften, 81(1975). 11. Compact holomorphic mappings on Banach spaces and the approximation property, (with Martin Schottenloher), J. Functional Analysis, (21), 1(1976), 7-30. 12. Interpolation by vector-valued analytic functions, (with Josip Globevnik and Martin Schottenloher), Rend. Math. (Rome), (1976). 13. The range of vector valued holomorphic mappings, Proc. Conf. Anal. Functions, Krakow, 1974, Ann. Polon. Math. 33(1976) 18-20. 14. Compact polynomials and compact differentiable mappings between Banach spaces, Sem. Lelong, Springer Lecture Notes 524(1976), 213-222. 15. Approximation of differentiable functions on a Banach space, Infinite Dimensional Holomorphy and Applications, North Holland Mathematics Studies 12, Mario C. Matos (editor) (1977), 1-17. 16. A Hahn Banach extension theorem for analytic mappings, (with Paul Berner), Bull. Soc. Math. France, 106(1978), 3-24. 17. Weakly uniformly continuous and weakly sequentially continuous entire functions, Advances in Holomorphy, Rio de Janeiro, 1977, J. A. Barroso (editor), North Holland, 47-66. 18. Polynomial approximation and a question of G. E. Shilov, Approximation Theory and Functional Analysis, Campinas, 1977, J. B. Prolla (editor) North Holland (1979), 1-12. 19. Extension and lifting theorems for analytic mappings on a Banach space, 6 Seminario Brasileiro de Analise, IMPA,(1977) 1-6. 20. Vector space measures and applications I, II, Proceedings, Dublin 1977, (edited jointly with S. Dineen), Lecture Notes in Mathematics, Springer-Verlag (1978), 644-45. 21. Polynomial approximation of differentiable functions on Banach spaces, (with J. B. Prolla), J. Reine Angew. Math. Bd. 313(1980) 195-216. 22. Extension and lifting theorems for analytic functions, Functional Analysis: Surveys and Recent Results (1979), K-D. Bierstedt and B. Fuchsteiner (editors), North Holland, 257-67. 23. Weakly continuous mappings on Banach spaces, (with Carlos Herves and M. Valdivia), J. Functional Analysis, (52) 2(1983), 189-204. 24. Weakly sequentially continuous analytic functions on Banach Spaces, (with C. Herves), Functional Analysis, Holomorphy, and Approximation Theory II, G. I. Zapata (ed.), North-Holland (1984), 23-38. 25. A reflexive space of holomorphic functions in infinitely many variables, (with S. Dineen and R. Alencar), Proc. A.M.S. 90, No. 3(1984), 407-411. 26. Tensor products of Tsirelson’s space (with Raymundo Alencar and Gerd Fricke), Ill. J. Math., 31 (1), (Spring, 1987), 17-23.

10

27. Weakly continous functions on Banach spaces containing £1 (with J. Diestel and A.K. Rajappa), in Banach Spaces (Proc. of the Missouri Conference), Lecture Notes in Math 1166 (1985), 1-3. 28. Homomorphisms on C(R),(with G. Fricke), Amer. Math. Monthly, Vol. 93, No. 7, August-September 1986, 555. 29. A geometric function determined by extreme points of the unit ball of a normed space (with R. H. Lohman), Pac. J. Math., 127 (2) (1987), 209-231. 30. Weak continuity of mappings between spaces of compact operators, (with A. K. Rajappa), Portugalia Mathematica 47, 4 (1990), 353-360. 31. An algorithm for computing the Tsirelson space norm, (with J. W. Baker and O. A.Slotterbeck), in “Tsirelson’s Space,” by P. Casazza and T.J. Shura, Lecture Notes in Mathematics 1363(1989), 159-203. 32. Factorization of holomorphic mappings in infinite dimensions, (with L.A. Moraes and R. Ryan), Math. Annalen 277(1987), 617-628. 33. Homomorphisms between algebras of differentiable functions in infinite dimensions, (jointly with J. Gomez and J. Llavona), Mich. Math. J. 35 (1988), 163-178. 34. Composition of weakly uniformly continuous functions, (jointly with J. Llavona), in Proc. Royal Irish Academy, (1988), 88A, 299-35. 35. Interpolation by analytic functions on co , (jointly with J. Globevnik), in Proc. Cambridge Phil. Soc. (1988), 104, 295-302. 36. Analytic Functions on co , (jointly with J. Globevnik), Revista Matematica (Univ. Complutense de Madrid) 2 (1989), 27-33. 37. Rotundity, the C.S.R.P., and the λ-property in Banach spaces, (jointly with R.H. Lohman and A. Suarez), Proc. A.M.S. 111, no. 1 (1991), 151- 155. 38. Computing the Tsirelson space norm, (jointly, with J.W. Baker and O.A. Slotterbeck) in Computer aided proofs in analysis, (K.R. Meyer and D.S. Schmidt, editors), I.M.A. Volumes in Mathematics and its Applications 28 (1990), 12-21. 39. Spectra of algebras of analytic functions on a Banach space, (jointly with B.J. Cole and T.W. Gamelin), J. Reine Angew. Math. (Crelle) 415 (1991), 51-93. 40. Boundaries for algebras of analytic functions on infinite dimensional Banach spaces (with Y. S. Choi, M.L. Louren¸co, and O.W. Paques), in “Banach spaces,” (B.L. Lin and W.B. Johnson, editors), Contemporary Mathematics, AMS (1993). 41. Polynomials in many variables: Real vs complex norms (with B. Beauzamy and P. Enflo), J. Approx. Th. 74, 2 (1993), 181-198. 42. Embeddings of spaces of holomorphic functions of bounded type (with J.M.Ansemil and S. Ponte), J.L.M.S., (2) 46 (1992), 482-490. 43. Spaces of holomorphic functions and germs on quotients, (with J. M. Ansemil and S. Ponte), in Proceed˜´ıscola, Spain (Progress in Functional Analysis, ings of a Conference in honor of Manuel Valdivia, Pen K.D. Bierstedt, J. Bonet, J. Horv´ath, and M. Maestre (eds.), North-Holland Math. Studies 170 (1992), 163-177. 44. The generalized Rademacher functions, (with M. Lacruz, R. A. Ryan and A.M. Tonge), Note di Matematica (Lecce) 12 (1992), 15-25. 45. Polynomial norms and coefficients, (with I. Zalduendo), Extracta Mathematicae (Second Congress on Functional Analysis, Jarandilla, Spain, 1990), (May, 1992), 13-20. 46. Estimates by polynomials, (with Y. S. Choi and J. L. G. Llavona), Bull. Aust. Math. Soc., 52 (1995), 475-486. 11

47. Weak-star continuous analytic functions, (with B.J. Cole and T.W. Gamelin), Can. J. Math., vol. 47 (4) (1995), 673-683. 48. Lifting of holomorphic mappings, with L.A. Moraes and O.W. Paques, Proc. Royal Irish Acad. 94 A, 1 (1994), 119-126. 49. Q−reflexive Banach spaces, with S. Dineen, Rocky Mtn. J. Math. 27, no. 4 (1997), 1009 - 1025. 50. Some remarks on norm-attaining n-linear forms, with C. Finet and E. Werner, in Proceedings of the Second Conference on Function Spaces, K. Jarosz (editor), L. N. Pure & App. Math. 172 MarcelDekker (1995), 19 - 28. 51. Weakly compact multilinear mappings, with P. Galindo, Proc. Edinburgh Math. Soc. 40 (1997), 181-192. 52. Regularity and Algebras of Analytic Functions in Infinite Dimensions, with P. Galindo, D. Garc´ıa, and M. Maestre, Trans. A.M.S. 348, 2 (1996), 543 - 559. 53. Compact homomorphisms between algebras of analytic functions, with P. Galindo and M. Lindstr¨om, Studia Math., 123, 3 (1997), 235-247. 54. Uniform factorization for compact sets of operators, with M. Lindstr¨om, W. Ruess, and R. Ryan, Proc. A.M.S. (127 (4), (1999) 1119-1125.)). 55. A problem concerning zero subspaces of polynomials, with P. Rueda, Linear topological spaces and complex analysis, 3 (1997), 20 - 23. 56. Homomorphisms on spaces of weakly continuous holomorphic functions, with P. Rueda, Archiv der Mathematik, 73, no. 6 (1999), 430-438. 57. Hypercyclic differentiation operators, with J. B`es, (Proceedings of the Third Conference on Function Spaces, Edwardsville, Ill. (1998), K. Jarosz editor), Contemporary Mathematics 232, (1999), 39 - 46. 58. Supremum norms for quadratic polynomials, with M. Klimek, Archiv der Mathematik, 76, (2001), 73-80. 59. Unique Hahn-Banach Theorems for spaces of homogeneous polynomials, with C. Boyd and Y. S. Choi, J. Austral. Math. Soc., 70 (2001), 387-400. 60. A connected metric space that is not separably connected, with M. Maestre, Contemporary Mathematics 328 (2003), 39-42. 61. Zeros of real polynomials, with R. Gonzalo and A. Zagorodnyuk, Linear and multilinear algebra, 48(2000), 107-115. 62. Algebras of symmetric holomorphic functions on lp , with R. Alencar, P. Galindo, and A. Zagorodnyuk, Bull. London Math. Soc. 35 (2003), no. 1, 55–64. 63. Local properties of polynomials on a Banach space, with Y. S. Choi, G. Kim, and M. Maestre, Illinois J. Math. 45, 1 (Spring, 2001). 64. Sets of weak sequential continuity for polynomials, with V. Dimant, Indag. Mathem. N. S. 13, 3 (2002), 287-299.

12

65. Connected components in the space of composition operators on H ∞ functions of many variables, with P. Galindo and M. Lindstr¨om, Integral Equations and Operator Theory, 45 (2003), 1–14 66. On norm attaining polynomials, with D. Garc´ıa and M. Maestre, Publ. Res. Inst. Math. Sci. 39 (2003), no. 1, 165–172. 67. Linearity in non-linear problems, with D. Garc´ıa and M. Maestre, RACΣAM (Revista de la Real Academia de Ciencias: Serie A. Matem´aticas), 95 (1) (2001), 7 - 12. 68. Zeros of polynomials: The real story, with C. Boyd, R. Ryan and I. Zalduendo, Positivity, 7 (2003), 285-295. 69. An introduction to polynomials on Banach spaces, Extracta Mathematica, 17, No. 3 (2002), 303-329. 70. On universal functions, with D. Markose, J. Korean Math. Soc., 41 (1), (2004), 65 - 76. 71. Spectra of weighted composition operators on weighted Banach spaces of analytic functions, with M. Lindstr¨om, Israel J. Math. 141 (2004), 263-276. 72. An infinite dimensional vector space of universal functions for H ∞ of the ball, with P. Gorkin, Canad. Math. Bull. 50 (2007), no. 2, 172–181. 73. Lineability and spaceability of sets of functions on R, with V. Gurariy and J. Seoane, Proc. A.M.S., 133 (2005) 795-803. 74. Operators with common hypercyclic subspaces, with J. B`es, F. Le´on, and A. Peris, J. Oper. Theory, 54, no. 2 (2005), 251-260. 75. Chaos on function spaces, with J. Seoane and A. Weber, Bull. Aust. Math. Soc., 71 (2005), 411-415. 76. Zero sets of polynomials in several variables, with P. Hajek, Archiv Math, 86, 6 (2006), 561-568. 77. Zero Sets And Linear Dependence Of Multilinear Forms, with L. Downey and M. Maestre, Note di Matematica (Lecce) 25, 1 (2006), 49-54. 78. Algebrability of the set of non-convergent Fourier series, with D. P´erez-Garc´ıa and J. Seoane, Studia Math., 175 (1) (2006). 79. Algebrability of the set of everywhere surjective functions on C , with J. Seoane, Bull. Belgian Math. Soc. – Simon Stevin, 14 (2007) 25-31. 80. Powers of hypercyclic functions for some classical hypercyclic operators, with J. A. Conejero, A. Peris, and J. B. Seoane-Sepu ´lveda, Integral Equations and Operator Theory, 58 (4), August, 2007, 591-596. 81. Odd degree polynomials on real Banach spaces, with P. H´ajek, Positivity 11 (2007), no. 1, 143–153.

13

82. Linearity in non-linear situations, in Advanced Courses of Mathematical Analysis II, M. V. Velasco and A. Rodr´ıguez-Palacios (editors), World-Scientific (2007), 1 - 15. 83. A multilinear Phelps’ Lemma, with A. Cardwell, D. Garc´ıa, and I. Zalduendo, Proc. Amer. Math. Soc. 135 (2007), 2549-2554. 84. Functionals that do not attain their norm, with M. Acosta, A. Aizpuru, and F. Garc´ıa, Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 407-418. ´lveda, Contem85. Sums and products of bad functions, with A. Conejero, A. Peris, and J. B. Seoane-Sepu porary Mathematics (AMS) 435 (2007), 47-52. 86. Chaotic polynomials in spaces of continuous and differentiable functions, with A. Miralles, Glasg. Math. J. 50 (2008), no. 2, 319–323. 87. Holomorphic mappings associated to composition ideals of polynomials, with G. Botelho, D. Pellegrino, and P. Rueda, Rendiconti Lincei Matematica e Applicazioni 21 (2010), 261-274. 88. The Bishop-Phelps-Bollobas Theorem for operators, with M. D. Acosta, D. Garc´ıa, and M. Maestre, J. Functional Analysis, Vol 254 (2008), 2780-2799. 89. Uncountably Generated Algebras of Everywhere Surjective Functions, with A. Conejero, A. Peris, and ´ lveda, Bull. Belgian Math. Soc. Simon Stevin 17 (2010), 571-575. J. B. Seoane-Sepu 90. Construction of weakly dense, norm divergent sequences, with D. Garc´ıa and M. Maestre, J. Convex Analysis, 16, no. 3 & 4 (2009), 667-672. 91. Representation of spaces of entire functions on Banach spaces, with J. Ansemil and S. Ponte, Publ. Res. Inst. Math. Sci. 45 (2009), no. 2, 383-391. 92. Boundaries for spaces of holomorphic functions on M −ideals in their biduals, with Maria D. Acosta and Luiza A. Moraes, Indiana Univ. 575 Math. J. 58 No. 6 (2009), 2575-2596. 93. Dense lineability of sets of functions on R, with F. J. Garc´ıa-Pacheco, D. Perez-Garc´ıa, and J. B. Seoane-Sepulveda, Topology 48 (2009), 149-156. 94. Behavior of entire functions on balls in a Banach space, with J. Ansemil and S. Ponte, Indag. Math. (N.S.) 20 (2009), no. 4, 483-489. 95. p−compact holomorphic mappings, with M. Maestre and P. Rueda, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas 104, Number 2, (2010) 353-364. 96. Uniform algebras of symmetric holomorphic functions, with P. Galindo, Advanced courses of mathematical analysis IV, 158164, World Sci. Publ., Hackensack, NJ, 2012.

14

97. Cluster values of analytic functions on a Banach space, with D. Carando, T. Gamelin, S. Lassalle, and M. Maestre, Math. Ann. 353 (2012), 293-303. 98. The Bishop-Phelps-Bollobas theorem and Asplund operators, with B. Cascales and O. Kozhushkina, Proc. A. M. S. 139, 10 (2011), 3553-3560. 99. p-Compact homogeneous polynomials from an ideal point of view, with M. P. Rueda, Proceedings of the 6th Conference on Function Spaces, (Krzysztof Jarosz, editor), Contemporary Mathematics 547, A.M.S. (2011), 61-71. 100. The Bishop-Phelps-Bollob´as theorem for L(L1 (μ), L∞ [0, 1]), with Y. S. Choi, D. Garc´ıa, and M. Maestre, Adv. Math., 228 (2011) 617-628 101. Entire unbounded functions on Banach spaces with a monotone Schauder basis, with J. M. Ansemil and S. Ponte), Mathematica (Cluj), 54 (77), (2012), 37-42. 102. Ideals of homogeneous polynomials, with M. P. Rueda, Publ. Research Institute for Mathematical Sciences (PRIMS), 48, Issue 4, 2012, pp. 957-969. 103. Smooth surjections without surjective restrictions, with J. Jaramillo and T. Ransford, J. Geometric Analysis, 23 (2013), no. 4, 2081-2090. 104. Cluster values of holomorphic functions of bounded type, with D. Carando, S. Lassalle, and M. Maestre, Trans. A.M.S. 368, No. 4, (April 2016), 2355 - 2369. 105. After the Bishop-Phelps theorem, with V. Lomonosov, ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 18, 1 (2014), 39-49. 106. I-bounded holomorphic functions, with M. P. Rueda, Journal of Nonlinear and Convex Analysis (JNCA), 16, 12 (2015), 2539-2551. 107. Behavior of holomorphic mappings on p-compact sets in a Banach space, with M. Maestre and E. Caliskan, Trans. A. M. S., 368 (2016), no. 7, 4855–4871. 108. The Bishop-Phelps-Bollob´as version of Lindenstrauss properties A and B, with Y. S. Choi, S. G. Kim, H. J. Lee, M. Martin, Trans. A.M.S., 367 (2015), no. 9, 6085–6101.. 109. The approximate hyperplane series and related properties, with M. D. Acosta and F. J. Garc´ıa-Pacheco, to appear.

Notes, Review Articles, etc. 1. Holomorphic functions, domains of holomorphy, and local properties, Leopoldo Nachbin, North Holland Lecture Notes and Notas de Matematica. Notes prepared by R. M. Aron. 2. Translator: introduction to functional analysis: Banach spaces and differentiable calculus, L. Nachbin, Pure and Applied Monographs in Mathematics (60), Marcel Dekker, (1982). 3. Review of Holomorphy and Calculus in Normed Spaces, by Soo Bong Chae, in Bull. L.M.S. 18 (1986) 424-425. 15

4. Polydisc algebras in infinite dimensions, Colloquium 1988-90, (J. Cobos, J.M.F. Castillo, and F. S´anchez, editors), Matem´aticas Universidad de Extremadura (1991). 5. Spectra of analytic functions in infinite dimensions, with B. Cole and T. Gamelin, Revista de la Uni´on Matem´atica Argentina, 37 (1991), 5 - 9. 6. Banach spaces of analytic functions with infinite dimensional domains, Encylopaedia of Mathematics, Supplement II, Kluwer Academic Publishers, (2000), 45 - 46. 7. Review of Complex analysis on infinite dimensional spaces, by S. Dineen, Springer-Verlag, London (1999), Bull. London Math. Soc. 32 (2000), 637-639. 8. Algebras of analytic functions on Banach spaces, in Seminar on mathematical analysis, Seville, 2003. 9. Weakly dense, norm divergent sequences, with D. Garc´ıa and M. Maestre, Proc. Infinite Function Theory on Infinite Dimensional Spaces, Madrid, December, 2007, 1 - 4. 10. Review of Archimedes’ Modern works, by B. Beauzamy, Soc. Calcul Math. (1972), Bulletin of the Irish Mathematical Society, 72, 98-100, Winter 2013.

VISITORS R. Alencar (Academic Years, 84-85, 96-97) C. Cardassi (Academic Year, 84-85) D. Pombo (Spring, 85) J. Llavona (Academic Year, 84-85; Fulbright Fellow) J.A. Jaramillo (Spring Semester, 85) H. Jarchow (August 85 - December 85) R. Ryan (Academic Year, 85-86) P. Carreras (August 85 - December 85) R. Anantharaman (Fall, 85) L.A. Moraes, (Spring, 86, and Academic Year 1988-89) O. Paques, (Academic Year 1988-89) C. Finet, (September-October, 1988) J. Zemanek, (November-December, 1988, April, 1996) Y.S. Choi, (January-February, 1989, Academic Year 1990-91, August, 1996) J. Ansemil, (February, 1989) J. Llavona, (April, 1989, and Academic Year 1990-91) Y. Mel´endez, (September, 1991) J. Gutierrez, (September, 1991) C.S. Lee (Academic year, 1993-94) P. Galindo, (Academic year, 1993-94) M. Lindstr¨om, (Spring semester, 1995) J. Ferrera, (February - March, 1995) J. Jaramillo, (Fall semester, 1995; October- December, 2009; September, 2011 - January, 2012; October, 2015 - January, 2016) M. Garrido. (Fall semester, 1995; October- December, 2009; September, 2011 - January, 2012; October, 2015 - January, 2016) L. Moraes, (Fall semester, 1995) I. Sarantopoulos (Calendar year, 1996) M. L. Louren¸co (January - February, 1997) C. Boyd (January - February, 1998) R. Gonzalo (April - May, 1998) A. Zagorodnyuk (May, 1998) 16

Y. S. Choi (Fall Semester, 1998) M. Maestre (Academic year, 1998-99) V. Dimant (Spring Semester, 2000) S. Lassalle (Calendar year, 2000) J. L. Llavona (February - April, 2000) M. Lindstr¨om (Academic year, 2002-2003) A. Hallack (March, 2004 - March 2005) D. Garc´ıa (Academic year, 2004-2005) A. Miralles (September - December, 2004; September - December, 2006) G. Fern´andez (October, 2004) I. Zalduendo (December, 2004 - February, 2005) C. A. Soares (March, 2004 - present) F. Leon Saavedra (June - September, 2005) A. Conejero (November - December, 2005) Y. Rangel (September - December, 2007) B. Cascales (June-09 - May-10) M. P. Rueda (December-09 - August-10) M. Maestre (August-10 - July - 11) J. Lopez-Salazar Codes, 3 months, 2011 E. Caliskan (March-11 - February-12) M. Martin (March-12 - September-12) J. Jaramillo, M. Garrido (October-15 - January-16) D. Alarcon, D. Serrano (January-16 - August-16) S. Charpentier, (April - May, 2016)

GRADUATE STUDENTS R. Ryan (PhD, 1976) A. Rajappa (with Joe Diestel) (PhD, 1985) P. Dowling (with Joe Diestel) (PhD, 1986) A. Roche (M.Sc. - U.C.D., 1987) Fergus Gaughran (Ph.D., Univ. College, Dublin, 1990), external examiner. Joaquin Gutierrez (Ph.D., Universidad Complutense de Madrid, 1990), external examiner. Mar´ıa Pilar Rueda, (PhD, 1997, Univ. Valencia), (Part of Prof. Rueda’s research was done with my advice during her stay in Kent in Fall, 1995). Juan B`es (PhD, 1998). Cecilia Fern´andez (PhD, 1998). Larry Downey (jointly with Per Enflo, PhD, 2001) Ignacio Villanueva (Ph.D., Univ. Complutense de Madrid, 1999), external examiner. Gustaf Strandell (Ph.D., Univ. Uppsala, 2003, opponent). Antonia Cardwell (jointly with Victor Lomonosov, Ph.D. 2005) Alejandro Miralles (doctoral student of Pablo Galindo), external examiner, June-08, Univ. Valencia Francisco Javier Garc´ıa Pacheco (Ph.D., Univ. Cadiz, 2005), external examiner; Ph.D. Kent State University, August, 2007 ´lveda, European doctorate Lineabilidad, espaciabilidad, Juan Benigno Seoane Sepu y operadores hiperc´ıclicos, Univ. Cadiz (2005); Ph.D. Kent State University, 2006. Andr´e Arbex Hallack, Hiperciclicidade em espa¸cos de fun¸c˜ oes inteiras, (jointly with M. Lilian Louren¸co), Universidade de S˜ao Paulo, Brazil, November, 2005. Nikke Palmberg, Analytic Function Spaces: Properties of operators and duality, Opponent, December, 2006. John Loane (doctoral student of Raymond A. Ryan), external examiner June-08, National University of Ireland, Galway. Anthony Brown, Spaces of polynomials of degree at most n and their geometry, (doctoral student of Christopher Boyd), external examiner, University College Dublin, December, 2011.

17

Jer´onimo Lopez-Salazar Codes, January, 2013 (doctoral student of J. M. Ansemil and S. Ponte), external examiner. Cory Henderson, Exploring the Riemann Hypothesis, MSc, May, 2013. Olena Kozhushkina (jointly with Bernardo Cascales and Antonio Guirao), The Bishop-Phelps-Bollobas Theorem and Operators on Banach Spaces, August, 2014 Javier Falc´o Benavent (current PhD student) Pablo Jim´enez-Rodrigu ´ez (current PhD student)

18

Poster_XIIIMV

RichardAronLexington27March2010

Palermo2012 623

Palermo2012 705

Palermo2012 708

1Ansemil_RICHARD_Ponte_Schottenloher_La Toja_1979

2RICHARD_Dublin_1980

3RICHARD_Herv+‹s_Ansemil_Dublin_1980

4RICHARD_Herv+‹s_Carol&Sean Dineen_Ana Mujica_Noverraz_Eleonor_Dublin_1980

5Ansemil_RICHARD_Morella_1990

6RICHARD_Eleonor_Altamira_1991

7Ansemil_Floret_RICHARD_Toledo_1997

8Ansemil_RICHARD_Bes_Bayona_1997

9Ansemiles_Bombales_RICHARD_2002

10Ansemil_RICHARD_Valencia_2010

11RICHARD_Ansemil_SierraMadrid_2009

12Jer+_imo_RICHARD_2009

13Luiza_Socorro_RICHARD_Ansemil_Eleoonor_El Esocorial_2012

3-13-2006-23

DSC05560

DSC05584

DSC05602

DSC05604(1)

DSC05604

DSC05616.jpg

DSC05679

IMG_4726

IMG_4727_ARONWEBSITE

IMG_4727_Reducida

IMG_9196

Maestre_01

Maestre_02

Maestre_03

Maestre_04

Maestre_05

Maestre_06

Maestre_07

Maestre_17

Maestre_08

Maestre_09

Maestre_10

Maestre_11

Maestre_12

Maestre_13

Maestre_14

Maestre_15

Maestre_16

Maestre_17.jpg

Maestre_18

Maestre_19

Maestre_20

Maestre_21

Maestre_22

richardangelines_91

SanIsidro2014.jpg

3−13−2006−23(1).jpg

DSC01337

DSC03838

DSC03840

DSC03843

DSC03890

DSC03891

DSC03912

DSC03916

DSC04005

DSC04035

DSC04085

DSC04089

DSC04093

DSC04104

DSC04106

DSC04108

DSC04109

DSC04110

DSC04139

DSC04145

DSC04185

DSC05604.jpg

DSC06145

DSC06159

DSC06161

everybody.jpg

IMG_0045

2015-05-09 11.29.44

everybody

Kent_2005

Madrid_2005

Middlefield_2005

Middlefield_2005.jpg

IMG_3428_Crop

IMG_3439

IMG_3440

IMG_3455

IMG_3495

IMG_3496_Crop

IMG_3512_Crop

IMG_3522

P4300001_crop

P5051457_Crop

P5051462_Crop

SanIsidro2014