Ultrametric Banach algebras:
In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras....
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2003
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. In uniform Banach 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 algebras, 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. |
| Physical Description: | xiii, 275 p |
| ISBN: | 9789812775603 |
Staff View
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| 520 | |a In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. In uniform Banach 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 algebras, 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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| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635018 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9789812775603 |
| language | English |
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| physical | xiii, 275 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2003 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Escassut, Alain Verfasser aut Ultrametric Banach algebras Alain Escassut Singapore World Scientific Pub. Co. c2003 xiii, 275 p txt rdacontent c rdamedia cr rdacarrier In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras. In uniform Banach 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 algebras, 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. 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 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812381941 Erscheint auch als Druck-Ausgabe 9812381945 http://www.worldscientific.com/worldscibooks/10.1142/5128#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Escassut, Alain Ultrametric Banach algebras 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 | Banach algebras p-adische Zahl (DE-588)4044292-5 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| topic_facet | Banach algebras p-adische Zahl Banach-Algebra |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5128#t=toc |
| work_keys_str_mv | AT escassutalain ultrametricbanachalgebras |