Completely bounded maps and operator algebras /:
This is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2002.
|
| Schriftenreihe: | Cambridge studies in advanced mathematics ;
78. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | This is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike. |
| Beschreibung: | 1 online resource (xii, 300 pages :) |
| Bibliographie: | Includes bibliographical references (pages 285-295) and index. |
| ISBN: | 051106103X 9780511061035 9780511546631 0511546637 0521816696 9780521816694 1107134536 9781107134539 1280420081 9781280420085 9786610420087 6610420084 1139148397 9781139148399 0511169604 9780511169601 0511302738 9780511302732 |
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| 245 | 1 | 0 | |a Completely bounded maps and operator algebras / |c Vern Paulsen. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2002. | ||
| 300 | |a 1 online resource (xii, 300 pages :) | ||
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| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 78 | |
| 504 | |a Includes bibliographical references (pages 285-295) and index. | ||
| 505 | 0 | |a Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Positive Maps; Chapter 3 Completely Positive Maps; Chapter 4 Dilation Theorems; Chapter 5 Commuting Contractions on Hilbert Space; Chapter 6 Completely Positive Maps into M; Chapter 7 Arveson's Extension Theorems; Chapter 8 Completely Bounded Maps; Chapter 9 Completely Bounded Homomorphisms; Chapter 10 Polynomially Bounded and Power-Bounded Operators; Chapter 11 Applications to K-Spectral Sets; Chapter 12 Tensor Products and Joint Spectral Sets. | |
| 520 | |a This is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 650 | 0 | |a Operator algebras. |0 http://id.loc.gov/authorities/subjects/sh85095022 | |
| 650 | 0 | |a Dilation theory (Operator theory) |0 http://id.loc.gov/authorities/subjects/sh85038008 | |
| 650 | 0 | |a Mappings (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85080857 | |
| 650 | 6 | |a Algèbres d'opérateurs. | |
| 650 | 6 | |a Applications (Mathématiques) | |
| 650 | 6 | |a Dilation, Théorie de la (Théorie des opérateurs) | |
| 650 | 6 | |a Théorie de la dilatation (Théorie des opérateurs) | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Dilation theory (Operator theory) |2 fast | |
| 650 | 7 | |a Mappings (Mathematics) |2 fast | |
| 650 | 7 | |a Operator algebras |2 fast | |
| 650 | 7 | |a Abbildung |g Mathematik |2 gnd |0 http://d-nb.info/gnd/4000044-8 | |
| 650 | 7 | |a Dilatation |2 gnd |0 http://d-nb.info/gnd/4149923-2 | |
| 650 | 7 | |a Operatoralgebra |2 gnd |0 http://d-nb.info/gnd/4129366-6 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
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| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 78. |0 http://id.loc.gov/authorities/names/n84708314 | |
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Datensatz im Suchindex
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| author | Paulsen, Vern I., 1951- |
| author_GND | http://id.loc.gov/authorities/names/n86088354 |
| author_facet | Paulsen, Vern I., 1951- |
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| collection | ZDB-4-EBA |
| contents | Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Positive Maps; Chapter 3 Completely Positive Maps; Chapter 4 Dilation Theorems; Chapter 5 Commuting Contractions on Hilbert Space; Chapter 6 Completely Positive Maps into M; Chapter 7 Arveson's Extension Theorems; Chapter 8 Completely Bounded Maps; Chapter 9 Completely Bounded Homomorphisms; Chapter 10 Polynomially Bounded and Power-Bounded Operators; Chapter 11 Applications to K-Spectral Sets; Chapter 12 Tensor Products and Joint Spectral Sets. |
| ctrlnum | (OCoLC)228110971 |
| dewey-full | 512/.55 |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Electronic books. |
| genre_facet | Electronic books. |
| id | ZDB-4-EBA-ocn228110971 |
| illustrated | Illustrated |
| indexdate | 2025-03-18T14:14:27Z |
| institution | BVB |
| isbn | 051106103X 9780511061035 9780511546631 0511546637 0521816696 9780521816694 1107134536 9781107134539 1280420081 9781280420085 9786610420087 6610420084 1139148397 9781139148399 0511169604 9780511169601 0511302738 9780511302732 |
| language | English |
| oclc_num | 228110971 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 300 pages :) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge studies in advanced mathematics ; |
| series2 | Cambridge studies in advanced mathematics ; |
| spelling | Paulsen, Vern I., 1951- https://id.oclc.org/worldcat/entity/E39PCjJpbVmYtGBHBvF34GrXh3 http://id.loc.gov/authorities/names/n86088354 Completely bounded maps and operator algebras / Vern Paulsen. Cambridge ; New York : Cambridge University Press, 2002. 1 online resource (xii, 300 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge studies in advanced mathematics ; 78 Includes bibliographical references (pages 285-295) and index. Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Positive Maps; Chapter 3 Completely Positive Maps; Chapter 4 Dilation Theorems; Chapter 5 Commuting Contractions on Hilbert Space; Chapter 6 Completely Positive Maps into M; Chapter 7 Arveson's Extension Theorems; Chapter 8 Completely Bounded Maps; Chapter 9 Completely Bounded Homomorphisms; Chapter 10 Polynomially Bounded and Power-Bounded Operators; Chapter 11 Applications to K-Spectral Sets; Chapter 12 Tensor Products and Joint Spectral Sets. This is a self-contained introduction to the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, plus some of their main applications. An indispensable introduction to the theory of operator spaces for graduate students and experts alike. Print version record. English. Operator algebras. http://id.loc.gov/authorities/subjects/sh85095022 Dilation theory (Operator theory) http://id.loc.gov/authorities/subjects/sh85038008 Mappings (Mathematics) http://id.loc.gov/authorities/subjects/sh85080857 Algèbres d'opérateurs. Applications (Mathématiques) Dilation, Théorie de la (Théorie des opérateurs) Théorie de la dilatation (Théorie des opérateurs) MATHEMATICS Algebra Linear. bisacsh Dilation theory (Operator theory) fast Mappings (Mathematics) fast Operator algebras fast Abbildung Mathematik gnd http://d-nb.info/gnd/4000044-8 Dilatation gnd http://d-nb.info/gnd/4149923-2 Operatoralgebra gnd http://d-nb.info/gnd/4129366-6 Electronic books. has work: Completely bounded maps and operator algebras (Text) https://id.oclc.org/worldcat/entity/E39PCFtKxkx46hwHMjFB3jXFfC https://id.oclc.org/worldcat/ontology/hasWork Print version: Paulsen, Vern I., 1951- Completely bounded maps and operator algebras. Cambridge ; New York : Cambridge University Press, 2002 (DLC) 2002024624 Cambridge studies in advanced mathematics ; 78. http://id.loc.gov/authorities/names/n84708314 |
| spellingShingle | Paulsen, Vern I., 1951- Completely bounded maps and operator algebras / Cambridge studies in advanced mathematics ; Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Chapter 1 Introduction; Chapter 2 Positive Maps; Chapter 3 Completely Positive Maps; Chapter 4 Dilation Theorems; Chapter 5 Commuting Contractions on Hilbert Space; Chapter 6 Completely Positive Maps into M; Chapter 7 Arveson's Extension Theorems; Chapter 8 Completely Bounded Maps; Chapter 9 Completely Bounded Homomorphisms; Chapter 10 Polynomially Bounded and Power-Bounded Operators; Chapter 11 Applications to K-Spectral Sets; Chapter 12 Tensor Products and Joint Spectral Sets. Operator algebras. http://id.loc.gov/authorities/subjects/sh85095022 Dilation theory (Operator theory) http://id.loc.gov/authorities/subjects/sh85038008 Mappings (Mathematics) http://id.loc.gov/authorities/subjects/sh85080857 Algèbres d'opérateurs. Applications (Mathématiques) Dilation, Théorie de la (Théorie des opérateurs) Théorie de la dilatation (Théorie des opérateurs) MATHEMATICS Algebra Linear. bisacsh Dilation theory (Operator theory) fast Mappings (Mathematics) fast Operator algebras fast Abbildung Mathematik gnd http://d-nb.info/gnd/4000044-8 Dilatation gnd http://d-nb.info/gnd/4149923-2 Operatoralgebra gnd http://d-nb.info/gnd/4129366-6 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85095022 http://id.loc.gov/authorities/subjects/sh85038008 http://id.loc.gov/authorities/subjects/sh85080857 http://d-nb.info/gnd/4000044-8 http://d-nb.info/gnd/4149923-2 http://d-nb.info/gnd/4129366-6 |
| title | Completely bounded maps and operator algebras / |
| title_auth | Completely bounded maps and operator algebras / |
| title_exact_search | Completely bounded maps and operator algebras / |
| title_full | Completely bounded maps and operator algebras / Vern Paulsen. |
| title_fullStr | Completely bounded maps and operator algebras / Vern Paulsen. |
| title_full_unstemmed | Completely bounded maps and operator algebras / Vern Paulsen. |
| title_short | Completely bounded maps and operator algebras / |
| title_sort | completely bounded maps and operator algebras |
| topic | Operator algebras. http://id.loc.gov/authorities/subjects/sh85095022 Dilation theory (Operator theory) http://id.loc.gov/authorities/subjects/sh85038008 Mappings (Mathematics) http://id.loc.gov/authorities/subjects/sh85080857 Algèbres d'opérateurs. Applications (Mathématiques) Dilation, Théorie de la (Théorie des opérateurs) Théorie de la dilatation (Théorie des opérateurs) MATHEMATICS Algebra Linear. bisacsh Dilation theory (Operator theory) fast Mappings (Mathematics) fast Operator algebras fast Abbildung Mathematik gnd http://d-nb.info/gnd/4000044-8 Dilatation gnd http://d-nb.info/gnd/4149923-2 Operatoralgebra gnd http://d-nb.info/gnd/4129366-6 |
| topic_facet | Operator algebras. Dilation theory (Operator theory) Mappings (Mathematics) Algèbres d'opérateurs. Applications (Mathématiques) Dilation, Théorie de la (Théorie des opérateurs) Théorie de la dilatation (Théorie des opérateurs) MATHEMATICS Algebra Linear. Operator algebras Abbildung Mathematik Dilatation Operatoralgebra Electronic books. |
| work_keys_str_mv | AT paulsenverni completelyboundedmapsandoperatoralgebras |