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e-Book Nonarchimedean Functional Analysis (Springer Monographs in Mathematics) download

e-Book Nonarchimedean Functional Analysis (Springer Monographs in Mathematics) download

by Peter Schneider

ISBN: 3540425330
ISBN13: 978-3540425335
Language: English
Publisher: Springer; 2002 edition (December 6, 2001)
Pages: 156
Category: Mathematics
Subategory: Math Science

ePub size: 1256 kb
Fb2 size: 1425 kb
DJVU size: 1648 kb
Rating: 4.9
Votes: 921
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Nonarchimedean Functional Analysis. Authors: Schneider, Peter.

Nonarchimedean Functional Analysis. price for USA in USD (gross). ISBN 978-3-662-04728-6.

Series: Springer Monographs in Mathematics. File: PDF, . 5 MB. Читать онлайн.

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. One can observe an increasing interest in methods from nonarchimedean functional analysis, particularly in number theory and in the representation theory of p-adic reductive groups. Series: Springer Monographs in Mathematics.

This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. Nonarchimedean Functional Analysis Springer Monographs in Mathematics. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. Издание: иллюстрированное.

Bulletin of the London Mathematical Society. Bulletin of the London Mathematical Society. 95), ISBN 3-540-42533-0 (Springer, Berlin, 2002).

Springer Monographs in Mathematics The main objective of functional analysis is the investigation of a certain class .

Springer Monographs in Mathematics. Chapter · January 2002 with 3 Reads. How we measure 'reads'. The main objective of functional analysis is the investigation of a certain class of topological vector spaces over a fixed nonarchimedean field K. This is the class of locally convex vector spaces. The more traditional analytic point of view characterizes locally convex topologies as those vector space topologies which can be defined by a family of (nonarchimedean) seminorms. This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc.

Nonarchimedean Functional Analysis book. Start by marking Nonarchimedean Functional Analysis (Springer Monographs in Mathematics) as Want to Read: Want to Read savin. ant to Read.

Article in Springer Monographs in Mathematics · January 2003 with 15 Reads. The focus of the final chapter of the book is on applications of the ideas and results developed in earlier chapters to Functional Analysis and Ring Theory

Article in Springer Monographs in Mathematics · January 2003 with 15 Reads. The focus of the final chapter of the book is on applications of the ideas and results developed in earlier chapters to Functional Analysis and Ring Theory. The chapter begins with the development of necessary and sufficient conditions on a ring so that its maximal right ring of quotients can be decomposed into a direct products of indecomposable rings or into a direct products of prime rings.

One beautiful book is Peter Schneider's Nonarchimedean Functional Analysis, appeared in the Springer Monographs in. .General monographs on non-Archimedean analysis contain only minimal information on p-adic analytic functions.

One beautiful book is Peter Schneider's Nonarchimedean Functional Analysis, appeared in the Springer Monographs in Mathematics in 2006. There are good introductions in the books by Robert and Koblitz.

Mathematical Analysis Books. Nonarchimedean Functional Analysis. Springer Monographs in Mathematics. This button opens a dialog that displays additional images for this product with the option to zoom in or out. Tell us if something is incorrect.

This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to use locally convex vector spaces in the applications and needs a text to quickly gra8p this theory.
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