Ultrametric Banach Algebras

Ultrametric Banach Algebras pdf epub mobi txt 电子书 下载 2025

出版者:World Scientific Publishing Company
作者:Alain Escassut
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页数:275
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出版时间:2003-03
价格:506.00元
装帧:Hardcover
isbn号码:9789812381941
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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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