Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2002
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
78 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511546631 https://doi.org/10.1017/CBO9780511546631 https://doi.org/10.1017/CBO9780511546631 https://doi.org/10.1017/CBO9780511546631 |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Umfang: | 1 Online-Ressource (xii, 300 Seiten) |
| ISBN: | 9780511546631 |
| DOI: | 10.1017/CBO9780511546631 |
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| 505 | 8 | |a 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 | |
| 520 | |a 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 | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Paulsen, Vern 1951- |
| author_GND | (DE-588)1042263655 |
| author_facet | Paulsen, Vern 1951- |
| author_role | aut |
| author_sort | Paulsen, Vern 1951- |
| author_variant | v p vp |
| building | Verbundindex |
| bvnumber | BV043942128 |
| classification_rvk | SK 600 |
| collection | ZDB-20-CBO |
| 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 |
| ctrlnum | (ZDB-20-CBO)CR9780511546631 (OCoLC)850422113 (DE-599)BVBBV043942128 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511546631 |
| format | Electronic eBook |
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| id | DE-604.BV043942128 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:18Z |
| institution | BVB |
| isbn | 9780511546631 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351098 |
| oclc_num | 850422113 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xii, 300 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics |
| spellingShingle | Paulsen, Vern 1951- Completely bounded maps and operator algebras 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 Operator algebras Dilation theory (Operator theory) Mappings (Mathematics) Operatoralgebra (DE-588)4129366-6 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Dilatation (DE-588)4149923-2 gnd |
| subject_GND | (DE-588)4129366-6 (DE-588)4000044-8 (DE-588)4149923-2 |
| title | Completely bounded maps and operator algebras |
| title_alt | Completely Bounded Maps & 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 Dilation theory (Operator theory) Mappings (Mathematics) Operatoralgebra (DE-588)4129366-6 gnd Abbildung Mathematik (DE-588)4000044-8 gnd Dilatation (DE-588)4149923-2 gnd |
| topic_facet | Operator algebras Dilation theory (Operator theory) Mappings (Mathematics) Operatoralgebra Abbildung Mathematik Dilatation |
| url | https://doi.org/10.1017/CBO9780511546631 |
| work_keys_str_mv | AT paulsenvern completelyboundedmapsandoperatoralgebras AT paulsenvern completelyboundedmapsoperatoralgebras |