Locally Convex Spaces Over Non Archimedean Valued Fields
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Locally Convex Spaces Over Non-Archimedean Valued Fields
A comprehensive, self-contained treatment of non-Archimedean functional analysis, with an emphasis on locally convex space theory.
Locally Convex Spaces over Non-Archimedean Valued Fields
Author: C. Perez-Garcia
language: en
Publisher: Cambridge University Press
Release Date: 2010-01-07
Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.
Advances in Non-Archimedean Analysis
Author: Jesus Araujo-Gomez
language: en
Publisher: American Mathematical Soc.
Release Date: 2011
These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach functions spaces, and measure and integration.