Locally convex spaces over non-Archimedean valued fields
By: C. Perez-Garcia, W.H. Schikhof
Contributors: Schikhof, Wilhelmus Hendricus
Series: Cambridge studies in advanced mathematics -- 119
Publisher: Cambridge University Press
Published: 2010
Place of publication: Cambridge, UK; New York
Language: eng
Number of pages: 472
ISBN-13: 9780521192439
Description: "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"--Provided by publisher.

"LOCALLY CONVEX SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS 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. CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS"--Provided by publisher.
Notes: Includes bibliographical references and index.
Table of contents: title: Ultrametrics and valuations; title: Normed spaces; title: Locally convex spaces; title: The Hahn-Banach theorem; title: The weak topology; title: C-compactness; title: Barrelledness and reflexivity; title: Montel and nuclear spaces; title: Spaces with an "orthogonal" base; title: Tensor products; title: Inductive limits.