Ultrametric Banach Algebras 2024 pdf epub mobi 电子书

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发表于2024-12-29

Ultrametric Banach Algebras 2024 pdf epub mobi 电子书

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出版者:World Scientific Publishing Company

作者:Alain Escassut

出品人:

页数:275

译者:

出版时间:2003-03

价格:506.00元

装帧:Hardcover

isbn号码:9789812381941

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Ultrametric Banach Algebras 2024 pdf epub mobi 电子书图书描述

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.

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