Compact and Weakly Compact Multipliers on Fourier Algebras of Ultraspherical Hypergroups

被引：3

作者：

Esmailvandi, Reza ^{[1
]}

Nemati, Mehdi ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 01期

关键词：

Arens regularity; Fourier algebra; ultraspherical hypergroup; weakly compact multiplier; Primary; 43A62; 43A22; 46J10; Secondary; 43A30; 46J20;

D O I：

10.1007/s00009-020-01651-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A locally compact group G is discrete if and only if the Fourier algebra A(G) has a non-zero (weakly) compact multiplier. We partially extend this result to the setting of ultraspherical hypergroups. Let H be an ultraspherical hypergroup and let A(H) denote the corresponding Fourier algebra. We will give several characterizations of discreteness of H in the terms of the algebraic properties of A(H). We also study Arens regularity of closed ideals of A(H).

引用

页数：12

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