The volume of convex bodies and Banach space geometry

＜図書＞
The volume of convex bodies and Banach space geometry

責任表示	Gilles Pisier
シリーズ	Cambridge tracts in mathematics ; 94
データ種別	図書
出版情報	Cambridge [England] : Cambridge University Press , 1989
本文言語	英語
大きさ	xv, 250 p. : ill. ; 24 cm
概要	Now in paperback, this popular book gives a self-contained presentation of a number of recent results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the...corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory, and the local theory of Banach spaces. The first part of the book presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. In the second part Pisier gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). This text will be a superb choice for courses in analysis and probability theory. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7015912

一般注記	Bibliography: p. 237-248 Includes index
著者標目	*Pisier, Gilles, 1950-
件　名	LCSH:Banach spaces LCSH:Inequalities (Mathematics)
分　類	LCC:QA322.2 DC19:515.7/32 NDC8:415.5
書誌ID	1001058436
ISBN	0521364655
NCID	BA07473412
巻冊次	ISBN:0521364655
NBN	B8919663
登録日	2009.09.17
更新日	2009.11.02