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An Introduction to Functional Analysis '20

Robinson, James C.  著

在庫状況 国内在庫有り  僅少 お届け予定日 3~4日  数量 冊 
価格 \5,491(税込)         

発行年月 2020年03月
出版社/提供元
出版国 イギリス
言語 英語
媒体 冊子
装丁 paper
ページ数/巻数 416 p., 17 b/w illus. 215 exercises
ジャンル 洋書/理工学/数学/解析学
ISBN 9780521728393
商品コード 1030874250
本の性格 テキスト
新刊案内掲載月 2019年12月
商品URL
参照
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1030874250

内容

This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert–Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the Hahn–Banach theorem, the Krein–Milman theorem, and results based on the Baire category theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully-worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but knowledge of measure theory is not required, making this book ideal for upper undergraduate-level and beginning graduate-level courses.

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