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The Resource Completely bounded maps and operator algebras, Vern Paulsen

Completely bounded maps and operator algebras, Vern Paulsen

Label
Completely bounded maps and operator algebras
Title
Completely bounded maps and operator algebras
Statement of responsibility
Vern Paulsen
Title variation
Completely Bounded Maps & Operator Algebras
Creator
Author
Subject
Language
eng
Summary
In this book, first published in 2003, the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications. The author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensable introduction to the theory of operator spaces for all who want to know more
Member of
Cataloging source
UkCbUP
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Paulsen, Vern I.
Dewey number
512/.55
Index
index present
LC call number
QA326
LC item number
.P37 2002
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Cambridge studies in advanced mathematics
Series volume
78
http://library.link/vocab/subjectName
  • Operator algebras
  • Dilation theory (Operator theory)
  • Mappings (Mathematics)
Label
Completely bounded maps and operator algebras, Vern Paulsen
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
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
1. Introduction -- 2. Positive Maps -- 3. Completely Positive Maps -- 4. Dilation Theorems -- 5. Commuting Contractions on Hilbert Space -- 6. Completely Positive Maps into M[subscript n] -- 7. Arveson's Extension Theorems -- 8. Completely Bounded Maps -- 9. Completely Bounded Homomorphisms -- 10. Polynomially Bounded and Power-Bounded Operators -- 11. Applications to K-Spectral Sets -- 12. Tensor Products and Joint Spectral Sets -- 13. Abstract Characterizations of Operator Systems and Operator Spaces -- 14. An Operator Space Bestiary -- 15. Injective Envelopes -- 16. Abstract Operator Algebras -- 17. Completely Bounded Multilinear Maps and the Haagerup Tensor Norm -- 18. Universal Operator Algebras and Factorization -- 19. Similarity and Factorization
Control code
CR9780511546631
Extent
1 online resource (xii, 300 pages)
Form of item
online
Isbn
9780511546631
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
Label
Completely bounded maps and operator algebras, Vern Paulsen
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
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
1. Introduction -- 2. Positive Maps -- 3. Completely Positive Maps -- 4. Dilation Theorems -- 5. Commuting Contractions on Hilbert Space -- 6. Completely Positive Maps into M[subscript n] -- 7. Arveson's Extension Theorems -- 8. Completely Bounded Maps -- 9. Completely Bounded Homomorphisms -- 10. Polynomially Bounded and Power-Bounded Operators -- 11. Applications to K-Spectral Sets -- 12. Tensor Products and Joint Spectral Sets -- 13. Abstract Characterizations of Operator Systems and Operator Spaces -- 14. An Operator Space Bestiary -- 15. Injective Envelopes -- 16. Abstract Operator Algebras -- 17. Completely Bounded Multilinear Maps and the Haagerup Tensor Norm -- 18. Universal Operator Algebras and Factorization -- 19. Similarity and Factorization
Control code
CR9780511546631
Extent
1 online resource (xii, 300 pages)
Form of item
online
Isbn
9780511546631
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote

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