Lectures on amenability

＜図書＞
Lectures on amenability

責任表示	Volker Runde
シリーズ	Lecture notes in mathematics ; 1774
データ種別	図書
出版情報	Berlin : Springer-Verlag , c2002
本文言語	英語
大きさ	xiii, 296 p. ; 24 cm
概要	The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, ame...ability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L DEGREES1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7007205

一般注記	Bibliography: p. [281]-288 Includes index
著者標目	*Runde, Volker
件　名	LCSH:Banach algebras
書誌ID	1001244280
ISBN	3540428526
NCID	BA54961411
巻冊次	ISBN:3540428526
登録日	2009.09.18
更新日	2017.02.18