DIFFERENT FORMS OF METRIC CHARACTERIZATIONS OF CLASSES OF BANACH SPACES

被引：0

作者：

Ostrovskii, M. I. ^{[1
]}

机构：

[1] St Johns Univ, Dept Math & Comp Sci, Jamaica, NY 11439 USA

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2013年 / 39卷 / 03期

关键词：

Banach space; bilipschitz embedding; graph distance; Lipschitz map; metric space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each sequence {Xm}(m=1)(infinity) of finite-dimensional Banach spaces there exists a sequence {Hn}(n=1)(infinity) of finite connected unweighted graphs with maximum degree 3 such that the following conditions on a Banach space Y are equivalent: Y admits uniformly isomorphic embeddings of {Xm}(m=1)(infinity). Y admits uniformly bilipschitz embeddings of {Hn}(n=1)(infinity).

引用

页码：889 / 906

页数：18

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