Locally Convex Spaces over Non-Archimedean Valued Fields

Locally Convex Spaces over Non-Archimedean Valued Fields

by C. Perez-Garcia, W. H. Schikhof
     
 

ISBN-10: 0521192439

ISBN-13: 9780521192439

Pub. Date: 01/31/2010

Publisher: Cambridge University Press

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

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Overview

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.

Product Details

ISBN-13:
9780521192439
Publisher:
Cambridge University Press
Publication date:
01/31/2010
Series:
Cambridge Studies in Advanced Mathematics Series, #119
Pages:
486
Product dimensions:
6.00(w) x 9.00(h) x 1.20(d)

Table of Contents

Preface; 1. Ultrametrics and valuations; 2. Normed spaces; 3. Locally convex spaces; 4. The Hahn-Banach Theorem; 5. The weak topology; 6. C-compactness; 7. Barrelledness and reflexivity; 8. Montel and nuclear spaces; 9. Spaces with an 'orthogonal' base; 10. Tensor products; 11. Inductive limits; A. Glossary of terms; B. Guide to the examples; Bibliography; Notations; Index.

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