Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space

被引：22

作者：

Randrianarivony, NL ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 05期

关键词：

coarse embedding; uniform embedding;

D O I：

10.1090/S0002-9939-05-08416-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it is isomorphic to a linear subspace of L-0(mu) for some probability space (Omega, B, mu).

引用

页码：1315 / 1317

页数：3

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