Weakly almost periodic and uniformly continuous functionals on the Orlicz Figa-Talamanca Herz algebras

被引：3

作者：

Lal, Rattan ^{[1
]}

Kumar, N. Shravan ^{[1
]}

机构：

[1] Indian Inst Technol Delhi, Dept Math, Delhi 110016, India

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2021年 / 27卷 / 01期

关键词：

Orlicz Figa-Talamanca Herz algebras; Weakly almost periodic functionals; Uniformly continuous functionals; 43A15; 46J10 (Primary);

D O I：

10.1007/s40590-021-00342-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study weakly almost periodic and uniformly continuous functionals on the Orlicz Figa-Talamanca Herz algebras associated to a locally compact group. We show that a unique invariant mean exists on the space of weakly almost periodic functionals. We also characterise discrete groups in terms of the inclusion of the space of uniformly continuous functionals inside the space of weakly almost periodic functionals.

引用

页数：12

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