Randomized isomorphic Dvoretzky theorem

被引：6

作者：

Litvak, A ^{[1
]}

Mankiewicz, P

Tomczak-Jaegermann, N

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[2] Polish Acad Sci, Inst Math, PL-00950 Warsaw, Poland

来源：

COMPTES RENDUS MATHEMATIQUE | 2002年 / 335卷 / 04期

关键词：

D O I：

10.1016/S1631-073X(02)02476-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a symmetric convex body in R-N for which B-2(N) is the ellipsoid of minimal volume. We provide estimates for the geometric distance of a 'typical' rank n projection of K to B-2(n), for 1 less than or equal to n < N. Known examples show that the resulting estimates are optimal (up to numerical constants) even for the Banach-Mazur distance.

引用

页码：345 / 350

页数：6