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
收藏
页码：345 / 350
页数：6
相关论文
共 50 条
12345