Ultrametric Banach algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2003
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 265-267) and index In this volume, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebra, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. The spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal. Two different such seminorms can have the same kernel. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebra, and ultrametric Banach algebras. Given a Krasner-Tate algbebra A=K{t}[x], the absolute values extending the Gauss norm from K{t} to A are defined by the elements of the Shilov boundary of A. |
| Beschreibung: | 1 Online-Ressource (xiii, 275 p.) |
| ISBN: | 1281928267 9781281928269 9789812381941 9789812775603 9812381945 9812775609 |
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| 264 | 1 | |a Singapore |b World Scientific |c 2003 | |
| 300 | |a 1 Online-Ressource (xiii, 275 p.) | ||
| 336 | |b txt |2 rdacontent | ||
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| 500 | |a Includes bibliographical references (p. 265-267) and index | ||
| 500 | |a In this volume, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebra, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. The spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal. Two different such seminorms can have the same kernel. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebra, and ultrametric Banach algebras. Given a Krasner-Tate algbebra A=K{t}[x], the absolute values extending the Gauss norm from K{t} to A are defined by the elements of the Shilov boundary of A. | ||
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Datensatz im Suchindex
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| author | Escassut, Alain |
| author_facet | Escassut, Alain |
| author_role | aut |
| author_sort | Escassut, Alain |
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| bvnumber | BV043132097 |
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| dewey-full | 512/.554 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.554 |
| dewey-search | 512/.554 |
| dewey-sort | 3512 3554 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:18:25Z |
| institution | BVB |
| isbn | 1281928267 9781281928269 9789812381941 9789812775603 9812381945 9812775609 |
| language | English |
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| spelling | Escassut, Alain Verfasser aut Ultrametric Banach algebras Alain Escassut Singapore World Scientific 2003 1 Online-Ressource (xiii, 275 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 265-267) and index In this volume, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebra, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. The spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal. Two different such seminorms can have the same kernel. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebra, and ultrametric Banach algebras. Given a Krasner-Tate algbebra A=K{t}[x], the absolute values extending the Gauss norm from K{t} to A are defined by the elements of the Shilov boundary of A. MATHEMATICS / Algebra / Linear bisacsh Algèbre de Banach rasuqam Analyse p-adique rasuqam Banach algebras fast Banach algebras Banach-Algebra (DE-588)4193187-7 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 s p-adische Zahl (DE-588)4044292-5 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235727 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Escassut, Alain Ultrametric Banach algebras MATHEMATICS / Algebra / Linear bisacsh Algèbre de Banach rasuqam Analyse p-adique rasuqam Banach algebras fast Banach algebras Banach-Algebra (DE-588)4193187-7 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| subject_GND | (DE-588)4193187-7 (DE-588)4044292-5 |
| 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 | MATHEMATICS / Algebra / Linear bisacsh Algèbre de Banach rasuqam Analyse p-adique rasuqam Banach algebras fast Banach algebras Banach-Algebra (DE-588)4193187-7 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| topic_facet | MATHEMATICS / Algebra / Linear Algèbre de Banach Analyse p-adique Banach algebras Banach-Algebra p-adische Zahl |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235727 |
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