Titelvorschau
Titelvorschau
Prüfung…

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

Verfasser/in: Joe Diestel; A Grothendieck; Jan H Fourie; J Swart Providence, R.I. : American Mathematical Society, ©2008. Buch : EnglischAlle Ausgaben und Formate anzeigen WorldCat "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.  Weiterlesen… (noch nicht bewertet) 0 mit Rezensionen - Verfassen Sie als Erste eine Rezension.

## Exemplar ausleihen

Suche nach Bibliotheken, die diesen Titel besitzen ...

## Details

Medientyp: Internetquelle Buch, Internet-Ressource Joe Diestel; A Grothendieck; Jan H Fourie; J Swart Weitere Informationen zu: Joe Diestel A Grothendieck Jan H Fourie J Swart 9780821844403 0821844407 185095773 x, 278 pages : illustrations ; 27 cm 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. Joe Diestel, Jan H. Fourie, Johan Swart.

### Abstract:

"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.

## Rezensionen

Nutzer-Rezensionen

## Tags

Tragen Sie als Erste Tags ein.

## Ähnliche Titel

### Verwandte Themen:(4)

Anfrage bestätigen

Sie haben diesen Titel bereits angefordert. Wenn Sie trotzdem fortfahren möchten, klicken Sie auf OK.

<http://www.worldcat.org/oclc/185095773>
library:oclcnum"185095773"
library:placeOfPublication
 rdf:type schema:Place schema:name "Providence, R.I."
library:placeOfPublication
owl:sameAs<info:oclcnum/185095773>
rdf:typeschema:Book
rdfs:seeAlso
rdfs:seeAlso
 madsrdf:isIdentifiedByAuthority rdf:type schema:Intangible schema:name "Tensor products."
<http://id.worldcat.org/fast/1147728>
 rdf:type schema:Intangible schema:name "Tensor products"
 madsrdf:isIdentifiedByAuthority rdf:type schema:Intangible schema:name "Banach spaces."
 rdf:type schema:Intangible schema:name "Produits tensoriels."
 rdf:type schema:Intangible schema:name "Banach, Espaces de."
schema:author
schema:contributor
<http://viaf.org/viaf/12381506>
 madsrdf:isIdentifiedByAuthority rdf:type schema:Person rdfs:label "Grothendieck, A. (Alexandre)"
schema:contributor
schema:contributor
schema:datePublished"2008"
schema:description"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."
schema:inLanguage"en"
schema:name"The metric theory of tensor products : Grothendieck's résumé revisited"
schema:numberOfPages"278"
schema:publisher
 rdf:type schema:Organization schema:name "American Mathematical Society"
schema:reviews
 rdf:type schema:Review schema:itemReviewed 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."--BOOK JACKET."
umbel:isLike<http://bnb.data.bl.uk/id/resource/GBA868615>

Bitte in WorldCat einloggen

Sie haben kein Konto? Sie können sehr einfach ein kostenloses Konto anlegen,.