Ultrametric Banach Algebras pdf epub mobi txt 電子書下載2025

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出版者:World Scientific Publishing Company

作者:Alain Escassut

出品人:

頁數:275

译者:

出版時間:2003-03

價格:506.00元

裝幀:Hardcover

isbn號碼:9789812381941

叢書系列:

圖書標籤:

Ultrametric Analysis
Banach Algebra
Non-Archimedean Analysis
Functional Analysis
Mathematics
p-adic Numbers
Ultrametric Spaces
Operator Algebras
Abstract Algebra
Harmonic Analysis

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具體描述

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.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.