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

著者: Joe Diestel; A Grothendieck; Jan H Fourie; J Swart
出版: Providence, R.I. : American Mathematical Society, ©2008.
エディション/フォーマット:   book_printbook : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
"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  続きを読む
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資料の種類: インターネット資料
ドキュメントの種類: 図書, インターネットリソース
すべての著者/寄与者: Joe Diestel; A Grothendieck; Jan H Fourie; J Swart
ISBN: 9780821844403 0821844407
OCLC No.: 185095773
物理形態: x, 278 pages : illustrations ; 27 cm
コンテンツ: 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.
責任者: Joe Diestel, Jan H. Fourie, Johan Swart.
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概要:

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  続きを読む

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