A01=Jan H. Fourie
A01=Joe Diestel
A01=Johan Swart
Author_Jan H. Fourie
Author_Joe Diestel
Author_Johan Swart
Category=PBKF
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Product details
- ISBN 9780821844403
- Weight: 669g
- Publication Date: 30 Jul 2008
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
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Grothendieck's Resume is a landmark in functional analysis. Despite having appeared more than a half century ago, its techniques and results are still not widely known nor appreciated. This is due, no doubt, to the fact that Grothendieck included practically no proofs, and the presentation is based on the theory of the very abstract notion of tensor products. This book aims at providing the details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. Particular attention is paid to how the classical Banach spaces ($C(K)$'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed.
