Locally convex spaces over non-Archimedean valued fields

Perez-Garcia, C.

Locally convex spaces over non-Archimedean valued fields - Cambridge: Cambridge University Press, 2010. - xiv, 472 p. : ill. ; hb, 24 cm. - Cambridge studies in advanced mathematics ; 119 .

Includes bibliographical references and index.

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.

9780521192439


Locally convex spaces
Functional analysis
Analysis
Mathematics

515.73 / PER


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