ON THE EQUIVALENCE BETWEEN COARSE AND UNIFORM EMBEDDABILITY OF QUASI-BANACH SPACES INTO A HILBERT SPACE

被引：0
|
作者：
Kraus, Michal [1 ]
机构：
[1] Pohang Univ Sci & Technol, Pohang Math Inst, Pohang 790784, South Korea
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
Coarse embedding; uniform embedding; quasi-Banach space; Hilbert space; METRIC-SPACES;
D O I：
10.1090/proc/12626
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a direct proof of the fact that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it uniformly embeds into a Hilbert space.
引用
收藏
页码：4835 / 4844
页数：10
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