The Resource Completely bounded maps and operator algebras, Vern Paulsen
Completely bounded maps and operator algebras, Vern Paulsen
Resource Information
The item Completely bounded maps and operator algebras, Vern Paulsen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Completely bounded maps and operator algebras, Vern Paulsen represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xii, 300 pages)
- Note
- Title from publisher's bibliographic system (viewed on 05 Oct 2015)
- 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
- Isbn
- 9780511546631
- 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
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Completely-bounded-maps-and-operator-algebras/GKRozExsXPw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Completely-bounded-maps-and-operator-algebras/GKRozExsXPw/">Completely bounded maps and operator algebras, Vern Paulsen</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>