Proximal flows:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1976
|
| Schriftenreihe: | Lecture notes in mathematics
517 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 153 S. graph. Darst. |
| ISBN: | 3540076891 0387076891 |
Internformat
MARC
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| 245 | 1 | 0 | |a Proximal flows |c Shmuel Glasner |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1976 | |
| 300 | |a VIII, 153 S. |b graph. Darst. | ||
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| 650 | 4 | |a Dynamique topologique | |
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
CHAPTER I: THE UNIVERSAL APPROACH 1
1. Definitions 1
2. The Stone-CSch Compactification of the Discrete
Group T 5
3. The Action of 0T on X 10
4. Pointed Flows and the Ellis Group 12
CHAPTER II: PROXIMAL FLOWS 17
1. Proximal and Distal Flows 17
2. Proximal and Weakly Mixing Flows 18
3. Strongly Amenable Groups 19
4. The Universal Proximal Flow 21
5. Examples of Proximal Flows 25
CHAPTER III: STRONGLY PROXIMAL FLOWS 30
1. Definitions 30
2. Affine Flows 32
3. Amenable Groups 34
4.A Countably Infinite Amenable Group has 2C Different
Invariant Means 37
5. Fixed Point Theorems 39
6. Disjointness 40
7. Proximal and Strongly Proximal 40
CHAPTER IV: THE FURSTENBERG BOUNDARY OF A LIE GROUP 42
1. Basic Facts from Lie Group Theory 42
2. Characterization of Amenable Lie Groups 46
3. Boundaries of Connected Lie Groups 48
4. The Boundaries of S3L (n,K) 51
5. Disjointness 52
6. Proximal Flows for Lie Groups 54
CHAPTER V: u-HARMONIC FUNCTIONS 55
1. y-Harmonic Functions and Amenability 55
2. Contractible Measures 58
3. Basic Facts from Probability Theory 60
4. The Poisson Flow Associated with u 63
5. CD.-Groups 67
CHAPTER VI: HARMONIC FUNCTIONS ON A SYMMETRIC SPACE 71
1. For € Simple, 2C is a Maximal Closed Subgroup
of C : 72
2. The Furstenberg Compactification of a Symmetric
Riemann Space 74
3. Harmonic Functions on D 76
4. The Poisson Space Corresponding to C and a Spher¬
ical Measure 82
5. The Case 6 = S1L (2 ,]R) 84
VIII
CHAPTER VII: EXPONENTIAL GROWTH, AMENABILITY AND FREE
SUBGROUPS ON TWO GENERATORS 87
1. Exponential Growth 88
2. A Characterization of Strong Proximality which does
not Depend upon Measures 92
3. A Non-Amenable Group Contains a Finitely Generated
Subgroup of Exponential Growth 94
CHAPTER VIII: THE GENERALIZED BOHR COMPACTIFICATION, I 98
1. Group Extensions and Almost Periodic Extensions .... 99
2. The Generalized (Strong) Bohr Compactification 102
3. The Generalized Strong Bohr Compactification of a
Connected Lie Group with Finite Center 104
CHAPTER IX: THE GENERALIZED BOHR COMPACTIFICATION, II 112
1. The T-Topology on G 113
2. More about Group Extensions and Almost Periodic
Extensions 120
3. The Quasifactors 0l(F) of M 122
4. G/H is the Generalized Bohr Compactification of the
Discrete Group T 124
CHAPTER X: PI-FLOWS 127
1. RIC-Extensions 127
2. Still More about Almost Periodic Extensions 129
3. A Construction of RIC-Extensions 131
4. Pi-Flows 134
5. A Basis for the t — Topology l40
6. Ellis Trick 142
7. Structure Theorems 144
BIBLIOGRAPHY 151
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV001968048 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:05Z |
| institution | BVB |
| isbn | 3540076891 0387076891 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001283519 |
| oclc_num | 721328111 |
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| physical | VIII, 153 S. graph. Darst. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Glasner, Shmuel Verfasser aut Proximal flows Shmuel Glasner Berlin [u.a.] Springer 1976 VIII, 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 517 Dynamique topologique Fonctions harmoniques Harmonische functies gtt Lie, Groupes de Lie-groepen gtt Topologische dynamica gtt Harmonic functions Lie groups Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 s DE-604 Lecture notes in mathematics 517 (DE-604)BV000676446 517 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001283519&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Glasner, Shmuel Proximal flows Lecture notes in mathematics Dynamique topologique Fonctions harmoniques Harmonische functies gtt Lie, Groupes de Lie-groepen gtt Topologische dynamica gtt Harmonic functions Lie groups Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd |
| subject_GND | (DE-588)4253345-4 |
| title | Proximal flows |
| title_auth | Proximal flows |
| title_exact_search | Proximal flows |
| title_full | Proximal flows Shmuel Glasner |
| title_fullStr | Proximal flows Shmuel Glasner |
| title_full_unstemmed | Proximal flows Shmuel Glasner |
| title_short | Proximal flows |
| title_sort | proximal flows |
| topic | Dynamique topologique Fonctions harmoniques Harmonische functies gtt Lie, Groupes de Lie-groepen gtt Topologische dynamica gtt Harmonic functions Lie groups Topological dynamics Topologische Dynamik (DE-588)4253345-4 gnd |
| topic_facet | Dynamique topologique Fonctions harmoniques Harmonische functies Lie, Groupes de Lie-groepen Topologische dynamica Harmonic functions Lie groups Topological dynamics Topologische Dynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001283519&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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