Lectures on amenability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London
Springer
2002
|
| Schriftenreihe: | Lecture notes in mathematics
1774 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 296 S. |
| ISBN: | 3540428526 |
Internformat
MARC
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| 245 | 1 | 0 | |a Lectures on amenability |c Volker Runde |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London |b Springer |c 2002 | |
| 300 | |a XIII, 296 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Table of Contents
0 Paradoxical decompositions 1
0.1 The Banach Tarski paradox 1
0.2 Tarski s theorem 7
0.3 Notes and comments 14
1 Amenable, locally compact groups 17
1.1 Invariant means on locally compact groups 17
1.2 Hereditary properties 23
1.3 Day s fixed point theorem 29
1.4 Representations on Hilbert space 30
1.5 Notes and comments 34
2 Amenable Banach algebras 37
2.1 Johnson s theorem 37
2.2 Virtual and approximate diagonals 43
2.3 Hereditary properties 46
2.4 Hochschild cohomology 55
2.5 Notes and comments 60
3 Examples of amenable Banach algebras 63
3.1 Banach algebras of compact operators 63
3.2 A commutative, radical, amenable Banach algebra 71
3.3 Notes and comments 80
4 Amenability like properties 83
4.1 Super amenability 83
4.2 Weak amenability 87
4.3 Biprojectivity and biflatness 95
4.4 Connes amenability 108
4.5 Notes and comments 115
5 Banach homology 119
5.1 Projectivity 119
5.2 Resolutions and Ext groups 123
5.3 Flatness and injectivity 133
5.4 Notes and comments 138
xii Table of Contents
6 C* and W algebras 141
6.1 Amenable VF* algebras 142
6.2 Injective VF* algebras 148
6.3 Tensor products of C and W* algebras 154
6.4 Semidiscrete W algebras 162
6.5 Normal, virtual diagonals 177
6.6 Notes and comments 187
7 Operator amenability 191
7.1 Bounded approximate identities for Fourier algebras 191
7.2 (Non )amenability of Fourier algebras 195
7.3 Operator amenable operator Banach algebras 199
7.4 Operator amenability of Fourier algebras 200
7.5 Operator amenability of C* algebras 205
7.6 Notes and comments 205
8 Geometry of spaces of homomorphisms 209
8.1 Infinite dimensional differential geometry 209
8.2 Spaces of homomorphisms 217
8.3 Notes and comments 219
Open problems 221
A Abstract harmonic analysis 231
A.I Convolution of measures and functions 231
A.2 Invariant subspaces of L°°(G) 235
A.3 Regular representations on LP(G) and associated algebras 237
A.4 Notes and comments 241
B Tensor products 243
B.I The algebraic tensor product 243
B.2 Banach space tensor products 246
B.2.1 The injective tensor product 247
B.2.2 The projective tensor product 250
B.3 The Hilbert space tensor product 253
B.4 Notes and comments 254
C Banach space properties 255
C.I Approximation properties 255
C.2 The Radon Nikodym property 258
C.3 Local theory of Banach spaces 259
C.4 Notes and comments 263
Table of Contents xiii
D Operator spaces 265
D.I Abstract and concrete operator spaces 265
D.2 Completely bounded maps 267
D.3 Tensor products of operator spaces 269
D.4 Operator Banach algebras 271
D.5 Notes and comments 273
List of symbols 275
References 281
Index 289
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:55:55Z |
| institution | BVB |
| isbn | 3540428526 |
| language | English |
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| physical | XIII, 296 S. |
| publishDate | 2002 |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Runde, Volker Verfasser aut Lectures on amenability Volker Runde Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 2002 XIII, 296 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1774 Banach, Algèbres de Mesure, Théorie de la Banach algebras Measure theory Amenabilitätstheorie (DE-588)4289826-2 gnd rswk-swf Amenabilitätstheorie (DE-588)4289826-2 s DE-604 Lecture notes in mathematics 1774 (DE-604)BV000676446 1774 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009586521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Runde, Volker Lectures on amenability Lecture notes in mathematics Banach, Algèbres de Mesure, Théorie de la Banach algebras Measure theory Amenabilitätstheorie (DE-588)4289826-2 gnd |
| subject_GND | (DE-588)4289826-2 |
| title | Lectures on amenability |
| title_auth | Lectures on amenability |
| title_exact_search | Lectures on amenability |
| title_full | Lectures on amenability Volker Runde |
| title_fullStr | Lectures on amenability Volker Runde |
| title_full_unstemmed | Lectures on amenability Volker Runde |
| title_short | Lectures on amenability |
| title_sort | lectures on amenability |
| topic | Banach, Algèbres de Mesure, Théorie de la Banach algebras Measure theory Amenabilitätstheorie (DE-588)4289826-2 gnd |
| topic_facet | Banach, Algèbres de Mesure, Théorie de la Banach algebras Measure theory Amenabilitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009586521&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT rundevolker lecturesonamenability |