Coverart for item
The Resource Similarity problems and completely bounded maps, Gilles Pisier

Similarity problems and completely bounded maps, Gilles Pisier

Label
Similarity problems and completely bounded maps
Title
Similarity problems and completely bounded maps
Statement of responsibility
Gilles Pisier
Creator
Subject
Language
eng
Summary
This book is mainly about 3 similarity problems arising in 3 different contexts, namely group representations, C*-algebras and uniform algebras (eg. the disc algebra). These 3 problems (all still open in full generality) are studied using a common tool, completely bounded maps, which have recently emerged as a major concept in operator algebra theory. The book is devoted to the background necessary to understand these problems, to the partial solutions that are known and to numerous related concepts, results, counterexamples or extensions. The variety of topics involved, ranging from functional analysis to harmonic analysis, Hp-spaces, Fourier multipliers, Schur multipliers, coefficients of group representations, group algebras, characterizations of amenable groups, nuclear C*-algebras, Hankel operators, etc, is an attraction of this book. It is mostly self-contained and accessible to graduate students mastering basic functional and harmonic analysis. For more advanced readers, it can be an invitation to the recently developed theory of "operator spaces", for which completely bounded maps are the fundamental morphisms
Member of
Action
digitized
Cataloging source
OCLCE
http://library.link/vocab/creatorDate
1950-
http://library.link/vocab/creatorName
Pisier, Gilles
Dewey number
  • 510 s
  • 512/.55
Index
index present
LC call number
QA3
LC item number
.L28 no. 1618
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics
Series volume
1618
http://library.link/vocab/subjectName
  • Linear operators
  • C*-algebras
  • Representations of groups
  • Mappings (Mathematics)
  • Opérateurs linéaires
  • C*-algèbres
  • Représentations de groupes
  • Applications (Mathématiques)
  • C*-algebras
  • Linear operators
  • Mappings (Mathematics)
  • Representations of groups
  • Beschränkter Operator
  • Hilbert-Raum
  • Gruppentheorie
  • Darstellungstheorie
  • C-Stern-Algebra
  • Lineaire operatoren
  • Operadores (analise funcional)
  • Espacos (analise funcional)
Label
Similarity problems and completely bounded maps, Gilles Pisier
Instantiates
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 143-151) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
0. Introduction. Description of contents -- 1. Von Neumann's inequality and Ando's generalization -- 2. Non-unitarizable uniformly bounded group representations -- 3. Completely bounded maps -- 4. Completely bounded homomorphisms and derivations -- 5. Schur multipliers and Grothendieck's inequality -- 6. Hankelian Schur multipliers. Herz-Schur multipliers -- 7. The similarity problem for cyclic homomorphisms on a C*-algebra -- 8. Completely bounded maps in the Banach space setting
Control code
655086831
Dimensions
unknown
Extent
1 online resource (vi, 156 pages).
File format
one file format
Form of item
online
Isbn
9783662215371
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)655086831
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Similarity problems and completely bounded maps, Gilles Pisier
Publication
Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 143-151) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
0. Introduction. Description of contents -- 1. Von Neumann's inequality and Ando's generalization -- 2. Non-unitarizable uniformly bounded group representations -- 3. Completely bounded maps -- 4. Completely bounded homomorphisms and derivations -- 5. Schur multipliers and Grothendieck's inequality -- 6. Hankelian Schur multipliers. Herz-Schur multipliers -- 7. The similarity problem for cyclic homomorphisms on a C*-algebra -- 8. Completely bounded maps in the Banach space setting
Control code
655086831
Dimensions
unknown
Extent
1 online resource (vi, 156 pages).
File format
one file format
Form of item
online
Isbn
9783662215371
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)655086831
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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