Locally convex spaces over non-Archimedean valued fields

＜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
出版情報	Cambridge : Cambridge University Press , 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.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7015754

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	PERE/60/1	2010		023212009006901		予約・取寄			予約・取寄

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