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The metric theory of tensor products : Grothendieck's résumé revisited

Autore: Joe Diestel; A Grothendieck; Jan H Fourie; J Swart
Editore: Providence, R.I. : American Mathematical Society, ©2008.
Edizione/Formato:   Libro : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
"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  Per saperne di più…
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Dettagli

Tipo materiale: Risorsa internet
Tipo documento: Book, Internet Resource
Tutti gli autori / Collaboratori: Joe Diestel; A Grothendieck; Jan H Fourie; J Swart
ISBN: 9780821844403 0821844407
Numero OCLC: 185095773
Descrizione: x, 278 pages : illustrations ; 27 cm
Contenuti: Basics on tensor norms; The role of $C(K)$-spaces and $L1$-spaces; $\otimes$-norms related to Hilbert space; The fundamental theorem and its consequences; Glossary of terms; The problems of the Resume; The Blaschke selection principle and compact convex sets in finite dimensional Banach spaces; A short introduction to Banach lattices; Stonean spaces and injectivity; Epilogue; Bibliography; Author index; Index of notation; Index.
Responsabilità: Joe Diestel, Jan H. Fourie, Johan Swart.
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Abstract:

Offers details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. This book shows how the classical  Per saperne di più…

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