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

Auteur : Joe Diestel; A Grothendieck; Jan H Fourie; J Swart
Éditeur: Providence, R.I. : American Mathematical Society, ©2008.
Édition/format:   Livre imprimé : AnglaisVoir toutes les éditions et tous les formats
Base de données:WorldCat
Résumé:
"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  Lire la suite...
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Détails

Type d’ouvrage: Ressource Internet
Type de document: Livre, Ressource Internet
Tous les auteurs / collaborateurs: Joe Diestel; A Grothendieck; Jan H Fourie; J Swart
ISBN: 9780821844403 0821844407
Numéro OCLC: 185095773
Description: x, 278 pages : illustrations ; 27 cm
Contenu: 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.
Responsabilité: Joe Diestel, Jan H. Fourie, Johan Swart.
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Résumé:

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  Lire la suite...

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   schema:reviewBody ""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."--Jacket." ;
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