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Ultrametric Banach Algebras

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Ultrametric Banach Algebras - Escassut, Alain
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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.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 ...

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Ultrametric Banach Algebras 2003, World Scientific Publishing Company

ISBN-13: 9789812381941

Hardcover