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<図書>
Locally convex spaces over non-Archimedean valued fields

責任表示 C. Perez-Garcia, W.H. Schikhof
シリーズ Cambridge studies in advanced mathematics ; 119
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 2010
本文言語 英語
大きさ xiv, 472 p. ; 24 cm
概要 "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 mathemati...s, 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.続きを見る
目次 Ultrametrics and valuations
Normed spaces
Locally convex spaces
The Hahn-Banach theorem
The weak topology
C-compactness
Barrelledness and reflexivity
Montel and nuclear spaces
Spaces with an "orthogonal" base
Tensor products
Inductive limits.
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所蔵情報


理系図3F 数理独自 023212009006901 PERE/60/1 2010

書誌詳細

一般注記 Includes bibliographical references (p. [457]-467) and index
著者標目 *Perez-Garcia, C., 1956-
Schikhof, Wilhelmus Hendricus
件 名 LCSH:Locally convex spaces
LCSH:Functional analysis
分 類 LCC:QA322
DC22:515/.73
書誌ID 1001412010
ISBN 9780521192439
NCID BB00700750
巻冊次 ISBN:9780521192439
登録日 2010.01.28
更新日 2017.03.14

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