Asymptotic theory of finite dimensional normed spaces

＜図書＞
Asymptotic theory of finite dimensional normed spaces

責任表示	Vitali D. Milman, Gideon Schechtman ; with an appendix by M. Gromov
シリーズ	Lecture notes in mathematics ; 1200
データ種別	図書
出版情報	Berlin ; Tokyo : Springer-Verlag , 1986
本文言語	英語
大きさ	viii, 156 p. ; 25 cm
概要	Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l DEGREESn p spaces w...ich nicely embed into diverse finite-dimensional normed spaces. An essential method here is the concentration of measure phenomenon which is closely related to large deviation inequalities in Probability on the one hand, and to isoperimetric inequalities in Geometry on the other. The book contains also an appendix, written by M. Gromov, which is an introduction to isoperimetric inequalities on riemannian manifolds. Only basic knowledge of Functional Analysis and Probability is expected of the reader. The book can be used (and was used by the authors) as a text for a first or second graduate course. The methods used here have been useful also in areas other than Functional Analysis (notably, Combinatorics) 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7017354

一般注記	Appendix: Isoperimetric inequalities in Riemannian manifolds Includes index
著者標目	*Milman, Vitali D., 1939- Schechtman, Gideon, 1947-
件　名	LCSH:Normed linear spaces LCSH:Convex sets LCSH:Limit theorems (Probability theory)
分　類	LCC:QA3 LCC:QA322.2 DC19:510 s DC19:515.7/3 NDC8:410.8 NDC8:415.5
書誌ID	1000028174
ISBN	3540167692
NCID	BA00223257
巻冊次	: gw ; ISBN:3540167692 : us ; ISBN:0387167692
登録日	2009.09.10
更新日	2017.02.18