Operator algebras and their modules: an operator space approach
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
2004
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society monographs
New series ; 30 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 387 S. |
| ISBN: | 0198526598 |
Internformat
MARC
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| 490 | 1 | |a London Mathematical Society monographs : New series |v 30 | |
| 650 | 4 | |a Algèbres d'opérateurs | |
| 650 | 4 | |a Espaces d'opérateurs | |
| 650 | 4 | |a Hilbert, Espace de | |
| 650 | 4 | |a Hilbert space | |
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Datensatz im Suchindex
| _version_ | 1804132902995230720 |
|---|---|
| adam_text | OPERATOR ALGEBRAS AND THEIR MODULES*AN OPERATOR SPACE APPROACH DAVID P.
BLECHER DEPARTMENT OF MATHEMATICS, UNIVERSITY OF HOUSTON CHRISTIAN LE
MERDY LABORATOIRE DE MATHEMATIQUES, UNIVERSITE DE BESANGON CLARENDON
PRESS * OXFORD 2004 CONTENTS OPERATOR SPACES 1 1.1 NOTATION AND
CONVENTIONS 1 1.2 BASIC FACTS, CONSTRUCTIONS, AND EXAMPLES 4 1.3
COMPLETELY POSITIVE MAPS 16 1.4 OPERATOR SPACE DUALITY 22 1.5 OPERATOR
SPACE TENSOR PRODUCTS 27 1.6 DUALITY AND TENSOR PRODUCTS 38 1.7 NOTES
AND HISTORICAL REMARKS 45 BASIC THEORY OF OPERATOR ALGEBRAS 49 2.1
INTRODUCING OPERATOR ALGEBRAS AND UNITIZATIONS 49 2.2 A FEW BASIC
CONSTRUCTIONS 57 2.3 THE ABSTRACT CHARACTERIZATION OF OPERATOR ALGEBRAS
62 2.4 UNIVERSAL CONSTRUCTIONS OF OPERATOR ALGEBRAS , 68 2.5 THE SECOND
DUAL ALGEBRA 78 2.6 MULTIPLIER ALGEBRAS AND CORNERS . 82 2.7 DUAL
OPERATOR ALGEBRAS 88 2.8 NOTES AND HISTORICAL REMARKS 96 BASIC THEORY OF
OPERATOR MODULES 102 3.1 INTRODUCTION TO OPERATOR MODULES 102 3.2
HILBERT MODULES 109 3.3 OPERATOR MODULES OVER OPERATOR ALGEBRAS 115 3.4
TWO MODULE TENSOR PRODUCTS 119 3.5 MODULE MAPS 123 3.6 MODULE MAP
EXTENSION THEOREMS 128 3.7 FUNCTION MODULES 131 3.8 DUAL OPERATOR
MODULES 136 3.9 NOTES AND HISTORICAL REMARKS 142 SOME EXTREMAL THEORY
147 4.1 THE CHOQUET BOUNDARY AND BOUNDARY REPRESENTATIONS 147 4.2 THE
INJECTIVE ENVELOPE 152 4.3 THE C*-ENVELOPE .. 156 4.4 THE INJECTIVE
ENVELOPE, THE TRIPLE ENVELOPE, AND TROS 161 4.5 THE MULTIPLIER ALGEBRA
OF AN OPERATOR SPACE 167 4.6 MULTIPLIERS AND THE CHARACTERIZATION
THEOREMS 175 4.7 MULTIPLIERS AND DUALITY 180 X CONTENTS 4.8
NONCOMMUTATIVE M-IDEALS 183 4.9 NOTES AND HISTORICAL REMARKS 188 5
COMPLETELY ISOMORPHIC THEORY OF OPERATOR ALGEBRAS 195 5.1 HOMOMORPHISMS
OF OPERATOR ALGEBRAS 195 5.2 COMPLETELY BOUNDED CHARACTERIZATIONS . 200
5.3 EXAMPLES OF OPERATOR ALGEBRA STRUCTURES 209 5.4 Q-ALGEBRAS 215 5.5
APPLICATIONS TO THE ISOMORPHIC THEORY 224 5.6 NOTES AND HISTORICAL
REMARKS 228 6 TENSOR PRODUCTS OF OPERATOR ALGEBRAS 232 6.1 THE MAXIMAL
AND NORMAL TENSOR PRODUCTS 232 6.2 JOINT DILATIONS AND THE DISC ALGEBRA
239 6.3 TENSOR PRODUCTS WITH TRIANGULAR ALGEBRAS 241 6.4 PISIER S DELTA
NORM 248 6.5 FACTORIZATION THROUGH MATRIX SPACES 254 6.6 NUCLEARITY AND
SEMIDISCRETENESS FOR LINEAR OPERATORS 259 6.7 NOTES AND HISTORICAL
REMARKS 265 7 SELFADJOINTNESS CRITERIA 26 9 7.1 O5-NUCLEAR MAPS AND THE
WEAK EXPECTATION PROPERTY 269 7.2 HILBERT MODULE CHARACTERIZATIONS 274
7.3 TENSOR PRODUCT CHARACTERIZATIONS 279 7.4 AMENABILITY AND VIRTUAL
DIAGONALS 282 7.5 NOTES AND HISTORICAL REMARKS 292 8 C*-MODULES AND
OPERATOR SPACES 296 8.1 HILBERT C*-MODULES*THE BASIC THEORY 297 8.2
C*-MODULES AS OPERATOR SPACES. 308 8.3 TRIPLES, AND THE NONCOMMUTATIVE
SHILOV BOUNDARY 322 8.4 C*-MODULE MAPS AND OPERATOR SPACE MULTIPLIERS
328 8.5 W*-MODULES 331 8.6 A SAMPLE APPLICATION TO OPERATOR SPACES 348
8.7 NOTES AND HISTORICAL REMARKS 350 APPENDIX 359 A.I OPERATORS ON
HILBERT SPACE 359 A.2 DUALITY OF BANACH SPACES 360 A.3 TENSOR PRODUCTS
OF BANACH SPACES 361 A.4 BANACH ALGEBRAS 363 A.5 C*-ALGEBRAS 364 A.6
MODULES AND COHEN S FACTORIZATION THEOREM 367 REFERENCES 369 INDEX 385
|
| any_adam_object | 1 |
| author | Blecher, David P. 1962- Le Merdy, Christian |
| author_GND | (DE-588)1011429039 (DE-588)1011429284 |
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| callnumber-raw | QA326 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)56644428 (DE-599)BVBBV019440144 |
| dewey-full | 512.556 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.556 |
| dewey-search | 512.556 |
| dewey-sort | 3512.556 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV019440144 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:00:12Z |
| institution | BVB |
| isbn | 0198526598 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012893654 |
| oclc_num | 56644428 |
| open_access_boolean | |
| owner | DE-824 DE-83 DE-188 |
| owner_facet | DE-824 DE-83 DE-188 |
| physical | X, 387 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Clarendon Press |
| record_format | marc |
| series | London Mathematical Society monographs |
| series2 | London Mathematical Society monographs : New series |
| spelling | Blecher, David P. 1962- Verfasser (DE-588)1011429039 aut Operator algebras and their modules an operator space approach David P. Blecher ; Christian Le Merdy 1. publ. Oxford Clarendon Press 2004 X, 387 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society monographs : New series 30 Algèbres d'opérateurs Espaces d'opérateurs Hilbert, Espace de Hilbert space Operator algebras Operator spaces Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 s DE-604 Le Merdy, Christian Verfasser (DE-588)1011429284 aut London Mathematical Society monographs New series ; 30 (DE-604)BV045355493 30 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blecher, David P. 1962- Le Merdy, Christian Operator algebras and their modules an operator space approach London Mathematical Society monographs Algèbres d'opérateurs Espaces d'opérateurs Hilbert, Espace de Hilbert space Operator algebras Operator spaces Operatoralgebra (DE-588)4129366-6 gnd |
| subject_GND | (DE-588)4129366-6 |
| title | Operator algebras and their modules an operator space approach |
| title_auth | Operator algebras and their modules an operator space approach |
| title_exact_search | Operator algebras and their modules an operator space approach |
| title_full | Operator algebras and their modules an operator space approach David P. Blecher ; Christian Le Merdy |
| title_fullStr | Operator algebras and their modules an operator space approach David P. Blecher ; Christian Le Merdy |
| title_full_unstemmed | Operator algebras and their modules an operator space approach David P. Blecher ; Christian Le Merdy |
| title_short | Operator algebras and their modules |
| title_sort | operator algebras and their modules an operator space approach |
| title_sub | an operator space approach |
| topic | Algèbres d'opérateurs Espaces d'opérateurs Hilbert, Espace de Hilbert space Operator algebras Operator spaces Operatoralgebra (DE-588)4129366-6 gnd |
| topic_facet | Algèbres d'opérateurs Espaces d'opérateurs Hilbert, Espace de Hilbert space Operator algebras Operator spaces Operatoralgebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV045355493 |
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