Ultrametric Banach Algebras
Author:   Alain Escassut (Universite Clermont Auvergne, France)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789812381941


Pages:   292
Publication Date:   05 March 2003
Format:   Hardback
Availability:   Out of stock   Availability explained
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Ultrametric Banach Algebras


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Overview

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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Author:   Alain Escassut (Universite Clermont Auvergne, France)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.80cm , Height: 2.10cm , Length: 23.00cm
Weight:   0.549kg
ISBN:  

9789812381941


ISBN 10:   9812381945
Pages:   292
Publication Date:   05 March 2003
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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