Amenable locally compact groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1984
|
| Series: | Pure and applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 418 S. |
| ISBN: | 0471893900 |
Staff View
MARC
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| 245 | 1 | 0 | |a Amenable locally compact groups |c Jean-Paul Pier |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
1. Preliminaries 1
1. Introduction, 1
2. Background and Notations, 6
3. General Considerations on Means and Averaging
Processes, 23
2. Fundamental Characterizations of Amenable Groups 30
4. Invariant Means on Various Function Spaces, 30
5. Flows and Fixed Point Properties, 42
6. Convergence to Invariance, 48
7. Structural Properties, 61
8. Amenability and Unitary Group Representations, 72
9. Amenability and Convolution Operators, 82
10. Existence of Approximate Units, 90
11. Cohomological Properties, 98
3. The Class of Amenable Groups 112
12. Examples of Amenable Groups, 112
13. Stability Properties of Amenability, 117
14. The Structure of Amenable Groups, 122
4. Complements on the Characteristic Properties of Amenable Groups 140
15. Quasi Invariance Properties, 140
16. Supplementary Structural Properties, 157
17. Supplementary Unitary Group Representation Properties, 182
18. Supplementary Convolution Properties, 191
19. Fourier Algebra Properties, 208
ix
x CONTENTS
5. Complements on Invariant Means Properties 229
20. Existence of Invariant Means, 229
21. Kernels and Ranges of Invariant Means, 246
22. The Sets of Invariant Means, 264
6. The Phenomenon of Amenability 309
23. Complements on the Class of Amenable Groups, 309
24. Generalized Notions of Amenability, 342
Bibliography 377
Notation Index 405
Author Index 411
Subject Index 415
|
| any_adam_object | 1 |
| author | Pier, Jean-Paul |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV000240971 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:56Z |
| institution | BVB |
| isbn | 0471893900 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000144764 |
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| physical | X, 418 S. |
| psigel | TUB-nveb |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Wiley |
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| series2 | Pure and applied mathematics |
| spelling | Pier, Jean-Paul Verfasser aut Amenable locally compact groups Jean-Paul Pier New York [u.a.] Wiley 1984 X, 418 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics Groupes localement compacts ram Lokaal compacte groepen gtt Locally compact groups Amenable lokal kompakte Gruppe (DE-588)4142183-8 gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 gnd rswk-swf Lokal kompakte Gruppe (DE-588)4168094-7 s DE-604 Amenable lokal kompakte Gruppe (DE-588)4142183-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000144764&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pier, Jean-Paul Amenable locally compact groups Groupes localement compacts ram Lokaal compacte groepen gtt Locally compact groups Amenable lokal kompakte Gruppe (DE-588)4142183-8 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd |
| subject_GND | (DE-588)4142183-8 (DE-588)4168094-7 |
| title | Amenable locally compact groups |
| title_auth | Amenable locally compact groups |
| title_exact_search | Amenable locally compact groups |
| title_full | Amenable locally compact groups Jean-Paul Pier |
| title_fullStr | Amenable locally compact groups Jean-Paul Pier |
| title_full_unstemmed | Amenable locally compact groups Jean-Paul Pier |
| title_short | Amenable locally compact groups |
| title_sort | amenable locally compact groups |
| topic | Groupes localement compacts ram Lokaal compacte groepen gtt Locally compact groups Amenable lokal kompakte Gruppe (DE-588)4142183-8 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd |
| topic_facet | Groupes localement compacts Lokaal compacte groepen Locally compact groups Amenable lokal kompakte Gruppe Lokal kompakte Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000144764&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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