Arens regularity and the second dual of certain quotients of the Fourier algebra

被引：5

作者：

Graham, CC

机构：

[1] RR#1-site, H-46, Bowen Island

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2001年 / 52卷

关键词：

D O I：

10.1093/qjmath/52.1.13

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that every metrizable locally compact abellian group contains a closed subset E such that the restriction A(E) of the Fourier algebra to E is Arens regular whatever the bounded multiplication it is given, but such that neither (A) over tilde (E) nor A(E)** is Arens regular (in their natural multiplications).

引用

页码：13 / 24

页数：12

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