A01=Alain Escassut
Affinoid
Author_Alain Escassut
Category=PBF
Category=PBKF
Circular Filters
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Krasner-Tate
Multiplicative Spectrum
Shilov Boundary
Spectral Properties
Topologies
Ultrametric Algebras
Product details
- ISBN 9789812381941
- Publication Date: 05 Mar 2003
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 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.
