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

页码：4835 / 4844

页数：10

共 48 条

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