Banach Algebras Of Ultrametric Functions is popular PDF and ePub book, written by Alain Escassut in 2022-04-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Banach Algebras Of Ultrametric Functions can be Read Online from any device for your convenience.
Banach Algebras Of Ultrametric Functions Book PDF Summary
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.
Detail Book of Banach Algebras Of Ultrametric Functions PDF
- Author : Alain Escassut
- Release : 08 April 2022
- Publisher : World Scientific
- ISBN : 9789811251672
- Genre : Mathematics
- Total Page : 323 pages
- Language : English
- PDF File Size : 8,7 Mb
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