Ultrametric Banach algebras /
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...
| Основен автор: | Escassut, Alain. |
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| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Singapore ; River Edge, NJ :
World Scientific,
2003.
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| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235727 |
| Подобни документи: |
Print version::
Ultrametric Banach algebras. |
| Резюме: |
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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| Физически характеристики: |
1 online resource (xiii, 275 pages) |
| Библиография: |
Includes bibliographical references (pages 265-267) and index. |
| ISBN: |
9789812775603 9812775609 1281928267 9781281928269 |