Ultrametric Banach algebras:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
2003
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 275 S. |
| ISBN: | 9812381945 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction ix
1. Basic Properties in Commutative Algebra 1
2. Tree Structure 9
3. Ultrametric Absolute Values 13
4. L Productal Vector Spaces 17
5. Multiplicative Semi Norms and Shilov Boundary 21
6. Spectral Semi Norm 31
7. Hensel Lemma 37
8. Infraconnected Sets 45
9. Monotonous Filters 51
10. Circular Filters 57
11. Tree Structure and Metric on Circular Filters 65
12. Rational Functions and Algebras R(D) 71
13. Simple Convergence on Mult{K[x ) 75
14. Topologies on Mult(K[x)) 81
15. Spectral Properties and Gelfand Transforms 87
V
vi Ultrametric Banach Algebras
16. Analytic Elements 93
17. Holomorphic Properties on Infraconnected Sets 101
18. r Filters and T Sequences 105
19. Applications of T Filters and T Sequences 113
20. Analytic Elements on Classic Partitions 119
21. Holomorphic Properties on Partitions 123
22. Shilov Boundary for Algebras H(D, O) 127
23. Holomorphic Functional Calculus 135
24. Uniform if Banach Algebras and Properties (s)
and (q) 143
25. Properties (o) and (q) in Uniform Banach if Algebras 149
26. Properties (o) and (q) and Strongly Valued Fields 161
27. Multbijective Banach iiT Algebras 167
28. Pseudo Density of Mul^A, || . ||) 171
29. Polnorm on Algebras and Algebraic Extensions 175
30. Definition of Affinoid Algebras 181
31. Algebraic Properties of Affinoid Algebras 187
32. Jacobson Radical of Affinoid Algebras 193
33. Salmon s Theorems 197
34. Separable Fields 201
35. Spectral Norm of Affinoid Algebras 209
36. Spectrum of an Element of an Affinoid Algebra 215
37. Krasner Tate Algebras 221
38. Universal Generators in Tate Algebras 227
39. Mappings from H(D) to the Tree Mult(K x}) 233
Contents vii
40. Continuous Mappings on Mult{K[£[) 239
41. Examples and Counterexamples 247
41. Associated Idempotents 255
43. Krasner Tate Algebras among Banach if Algebras 259
References 265
Definitions Index 269
Notation Index 273
|
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| id | DE-604.BV017404095 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:17:38Z |
| institution | BVB |
| isbn | 9812381945 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010488159 |
| oclc_num | 52425467 |
| open_access_boolean | |
| owner | DE-824 DE-29T DE-11 |
| owner_facet | DE-824 DE-29T DE-11 |
| physical | XIII, 275 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Escassut, Alain Verfasser aut Ultrametric Banach algebras Alain Escassut Singapore [u.a.] World Scientific 2003 XIII, 275 S. txt rdacontent n rdamedia nc rdacarrier Algèbre de Banach rasuqam Analyse p-adique rasuqam Banach algebras p-adische Zahl (DE-588)4044292-5 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 s p-adische Zahl (DE-588)4044292-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010488159&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Escassut, Alain Ultrametric Banach algebras Algèbre de Banach rasuqam Analyse p-adique rasuqam Banach algebras p-adische Zahl (DE-588)4044292-5 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| subject_GND | (DE-588)4044292-5 (DE-588)4193187-7 |
| title | Ultrametric Banach algebras |
| title_auth | Ultrametric Banach algebras |
| title_exact_search | Ultrametric Banach algebras |
| title_full | Ultrametric Banach algebras Alain Escassut |
| title_fullStr | Ultrametric Banach algebras Alain Escassut |
| title_full_unstemmed | Ultrametric Banach algebras Alain Escassut |
| title_short | Ultrametric Banach algebras |
| title_sort | ultrametric banach algebras |
| topic | Algèbre de Banach rasuqam Analyse p-adique rasuqam Banach algebras p-adische Zahl (DE-588)4044292-5 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| topic_facet | Algèbre de Banach Analyse p-adique Banach algebras p-adische Zahl Banach-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010488159&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT escassutalain ultrametricbanachalgebras |