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Most common price: £103 (48 days, 100.0%)

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Description

This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to various kind of functions: uniformly continuous functions, Lipschitz functions, strictly differentiable functions, defined in a metric space. Analytic elements in an algebraically closed complete field (due to M Krasner) are recalled with most of their properties linked to T-filters and applications to their Banach algebras, and to the ultrametric holomorphic functional calculus, with applications to spectral properties. The multiplicative semi-norms of Krasner algebras are characterized by circular filters with a metric and an order that are examined.The definition of the theory of affinoid algebras due to J Tate is recalled with all the main algebraic properties (including Krasner-Tate algebras). The existence of idempotents associated to connected components of the multiplicative spectrum is described.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9811251657
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 04 May 2022
Listed Since: 09 November 2021

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World Scientific Publishing Company BANACH ALGEBRAS OF ULTRAMETRIC FUNCTIONS

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It has never been this cheap. We have no record of a lower price.

World Scientific Publishing Company BANACH ALGEBRAS OF ULTRAMETRIC FUNCTIONS

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

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