Representations of commutative semitopological semigroups:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1975
|
| Series: | Lecture notes in mathematics
435 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 181 S. |
| ISBN: | 3540071326 0387071326 |
Staff View
MARC
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| 245 | 1 | 0 | |a Representations of commutative semitopological semigroups |c Charles F. Dunkl ; Donald E. Ramirez |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1975 | |
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| 490 | 1 | |a Lecture notes in mathematics |v 435 | |
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
Chapter 1. Basic results 1
1. Commutative semitopological semigroups 1
2. C* and W*-algebras 4
Chapter 2. The representation algebra 10
1. L°°- re presentations 10
2. Examples 20
3. Examples of monothetic semigroups 23
Chapter 3. Positive-definite and completely positive
functions 27
1. Positive-definite functions on semigroups with a
dense union of groups 27
2. The dual of R(S) 38
3. Completely monotone functions 42
Chapter 4. Discrete separative semigroups 52
1. The semigroup algebra 53
2. Inverse semigroups 55
3. Separative semigroups 58
4. The Silov boundary of £1(S) 63
5. The representation algebra 66
6. Extensions of semicharacters 70
7. The regular representation 72
8. Sources and related work 78
Chapter 5. Subsemigroups of locally compact abelian
groups and weakly almost periodic functions 80
1. The representation algebra for locally compact
abelian groups 80
2. Weakly almost periodic functions 89
Chapter 6. Representations in Q-algebras 99
1. Q-algebras 100
2. Q-representations and the algebra RQ(S) 107
Chapter 7. Special cases of Q-representations 118
1. Discrete semigroups 118
2. Semigroups of type U 127
3. Z+ , )R and their Rees quotients 131
4. Further questions 136
Chapter 8. Hilbert space representations 138
1. General theory 139
2. Dilation theory 151
3. Dilation theory for separative semigroups 158
Appendix A. Fourier analysis 163
Appendix B. Spectral theorem 165
Appendix C. The structure semigroup of the representation
algebra 16 7
References 170
Symbol index
178
Author index
180
Subject index
|
| any_adam_object | 1 |
| author | Dunkl, Charles F. Ramirez, Donald E. |
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| classification_rvk | SI 850 |
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| dewey-full | 510.8 |
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| dewey-sort | 3510.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002242320 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:38Z |
| institution | BVB |
| isbn | 3540071326 0387071326 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001473675 |
| oclc_num | 610682199 |
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| physical | VI, 181 S. |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Dunkl, Charles F. Verfasser aut Representations of commutative semitopological semigroups Charles F. Dunkl ; Donald E. Ramirez Berlin [u.a.] Springer 1975 VI, 181 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 435 Groupes continus Groupes topologiques ram Mathématiques Représentations de groupes ram Semigroupes ram Transformations infinitésimales Halbgruppe (DE-588)4022990-7 gnd rswk-swf Halbgruppe (DE-588)4022990-7 s DE-604 Ramirez, Donald E. Verfasser aut Lecture notes in mathematics 435 (DE-604)BV000676446 435 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001473675&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dunkl, Charles F. Ramirez, Donald E. Representations of commutative semitopological semigroups Lecture notes in mathematics Groupes continus Groupes topologiques ram Mathématiques Représentations de groupes ram Semigroupes ram Transformations infinitésimales Halbgruppe (DE-588)4022990-7 gnd |
| subject_GND | (DE-588)4022990-7 |
| title | Representations of commutative semitopological semigroups |
| title_auth | Representations of commutative semitopological semigroups |
| title_exact_search | Representations of commutative semitopological semigroups |
| title_full | Representations of commutative semitopological semigroups Charles F. Dunkl ; Donald E. Ramirez |
| title_fullStr | Representations of commutative semitopological semigroups Charles F. Dunkl ; Donald E. Ramirez |
| title_full_unstemmed | Representations of commutative semitopological semigroups Charles F. Dunkl ; Donald E. Ramirez |
| title_short | Representations of commutative semitopological semigroups |
| title_sort | representations of commutative semitopological semigroups |
| topic | Groupes continus Groupes topologiques ram Mathématiques Représentations de groupes ram Semigroupes ram Transformations infinitésimales Halbgruppe (DE-588)4022990-7 gnd |
| topic_facet | Groupes continus Groupes topologiques Mathématiques Représentations de groupes Semigroupes Transformations infinitésimales Halbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001473675&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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