Overview
- Covers all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields
- Gives the foundations of the theory and also develops the more advanced topics
- Concise introduction for the researcher and the graduate student who want to apply this theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (4 chapters)
Keywords
About this book
Reviews
From the reviews of the first edition:
"It is the first textbook seriously covering locally convex theory over K, so … it is most welcome. … the book is self-contained, complete with all proofs, and therefore attractive also to those who are not acquainted with the above area. … The book is well-written, with care for details. Recommended." (W.H. Schikhof, Jahresbericht der Deutschen Mathematiker Vereinigung, Vol. 106 (1), 2004)
"The book under review is a self-contained text concerning the theory of locally convex spaces over non-Archimedean fields. … The book is carefully written and incorporates for the first time results that have only appeared in papers. It will be a valuable reference work either for specialists or for non-specialists in the field." (Dinamérico P. Pombo, Jr., Mathematical Reviews, Issue 2003 a)
"Functional analysis over nonarchimedean fields has become an area of growing interest … . In the present book the author gives a concise and clear account of this theory, carefully lays the foundations, and also develops the more advanced topics. … This book gives a streamlined introduction for researchers and graduate students who want to apply these methods to other areas, and it would probably also provide a valuable reference source for researchers in the field." (Anton Deitmar, Bulletin of the London Mathematical Society, Vol. 34, 2002)
"The present book is a self-contained text which leads the reader through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. … The book gives a concise and clear account of this theory, it carefully lays the foundations and also develops the more advanced topics. Although the book will be a valuable reference work for experts in the field, it is mainly intended as streamlined but detailed introduction for researchers and graduate students … ." (L’Enseignement Mathematique, Vol. 48 (1-2), 2002)
Authors and Affiliations
Bibliographic Information
Book Title: Nonarchimedean Functional Analysis
Authors: Peter Schneider
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-662-04728-6
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Hardcover ISBN: 978-3-540-42533-5Published: 20 November 2001
Softcover ISBN: 978-3-642-07640-4Published: 09 December 2010
eBook ISBN: 978-3-662-04728-6Published: 09 March 2013
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: VII, 156
Topics: Analysis, Number Theory
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