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  3. Locally Convex Spaces over Non-Archimedean Valued Fields
  • Cited by 67
Publisher:
Cambridge University Press
Online publication date:
July 2010
Print publication year:
2010
Online ISBN:
9780511729959
DOI:
https://doi.org/10.1017/CBO9780511729959
Subjects:
Mathematics (general), Mathematics, Abstract Analysis
Series:
Cambridge Studies in Advanced Mathematics (119)
Information

Book 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.

Reviews

'The book under review is, in my opinion, the best of the existing books on the theory of non-Archimedean locally convex spaces. It contains most of the known results which are published in the area. The book is self-contained and only basic knowledge of linear algebra, analysis and topology are needed to read it. It could be used by graduate students as well as by researchers in mathematical analysis and in other areas.'

Source: Mathematical Reviews

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