NONSEPARABILITY AND UNIFORM STRUCTURES IN LOCALLY COMPACT-GROUPS

被引：5

作者：

HANSEL, G ^{[1
]}

TROALLIC, JP ^{[1
]}

机构：

[1] UNIV HAVRE,FAC SCI & TECH,CNRS,URA D1378,F-76600 LE HAVRE,FRANCE

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 05期

关键词：

LOCALLY COMPACT GROUPS; UNIFORM STRUCTURES; UNIFORMLY CONTINUOUS FUNCTIONS;

D O I：

10.2307/2161155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a locally compact topological group. We prove that if G is not a SIN-group, then the quotient Banach space U-L(G)/U(G) contains an isometric linear copy of l(infinity). To get this result, we first establish an extension theorem for (bilaterally) uniformly continuous functions on G.

引用

页码：1613 / 1621

页数：9

共 50 条

[1] EQUICONTINUITY, UNIFORM STRUCTURES AND COUNTABILITY IN LOCALLY COMPACT-GROUPS
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