Gaussian version of a theorem of Milman and Schechtman

被引：10

作者：

Guedon, O ^{[1
]}

机构：

[1] Univ Marne Vallee, F-93166 Noisy Le Grand, France

来源：

POSITIVITY | 1997年 / 1卷 / 01期

关键词：

Banach space; Banach-Mazur distance; euclidean subspace; Gaussian processes;

D O I：

10.1023/A:1009759010957

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Gordon's inequalities, we give a short proof of the existence of an embedding T : l(2)(k) --> l(infinity)(n) such that \\T\\ \\T-1\\ less than or equal to root k/ln(1 +n/k). In same way, we give a new proof of a theorem of Milman and Schechtman (1995).

引用

页码：1 / 5

页数：5