EXTENDING MULTIPLIERS OF THE FOURIER ALGEBRA FROM A SUBGROUP

被引：5

作者：

Brannan, Michael ^{[1
]}

Forrest, Brian ^{[2
]}

机构：

[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

[2] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 04期

关键词：

Fourier algebra; multipliers; completely bounded multipliers; locally compact group; BOUNDED MULTIPLIERS; AMENABILITY;

D O I：

10.1090/S0002-9939-2014-11824-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider various extension problems associated with elements in the closure with respect to either the multiplier norm or the completely bounded multiplier norm of the Fourier algebra of a locally compact group. In particular, we show that it is not always possible to extend an element in the closure with respect to the multiplier norm of the Fourier algebra of the free group on two generators to a multiplier of the Fourier algebra of SL(2, R).

引用

页码：1181 / 1191

页数：11

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