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Part II Compactness and Its Applications
PART I1
COMPACTNESS AND ITS APPLICATIONS
SinguliPre fortune oh le but se dkplace, Et, n’Ctant nulle part, peut &tren’importe oh ! OC I’Homme, dont jamais l’espkrance n’est l a s e , Pour trouver le repos court toujours comme un fou !
In this Second Part, we leave the general frame in order to concentrate on compactness. First, compact operators for themselves, then, on a Hilbert space, the space of nuclear operators, which appear to be the predual of the space L(H).This duality is studied in detail, since it allows us to describe interesting topologies on L ( H ) .
COMPACTNESS AND ITS APPLICATIONS
SinguliPre fortune oh le but se dkplace, Et, n’Ctant nulle part, peut &tren’importe oh ! OC I’Homme, dont jamais l’espkrance n’est l a s e , Pour trouver le repos court toujours comme un fou !
In this Second Part, we leave the general frame in order to concentrate on compactness. First, compact operators for themselves, then, on a Hilbert space, the space of nuclear operators, which appear to be the predual of the space L(H).This duality is studied in detail, since it allows us to describe interesting topologies on L ( H ) .