Reiter's condition for amenable hypergroups

被引：6

作者：

Lasser, R. ^{[1
,2
]}

Skantharajah, M. ^{[1
,2
]}

机构：

[1] Tech Univ Munich, Ctr Math, D-85748 Garching, Germany

[2] Helmholtz Natl Res Ctr Environm & Hlth, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

来源：

MONATSHEFTE FUR MATHEMATIK | 2011年 / 163卷 / 03期

关键词：

Hypergroups; Reiter's condition; Amenability; AMENABILITY;

D O I：

10.1007/s00605-010-0206-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study modifications of Reiter's condition (P (r) ) which are generated by certain power and root procedures. In that way we can illustrate the difference between the (P (1))- and the (P (2))-property. Furthermore we present equivalent conditions to (P (2)). In order to have examples we discuss the results for polynomial hypergroups.

引用

页码：327 / 338

页数：12

共 19 条

[1]

[Anonymous], 1988, AMENABILITY MATH SUR

[2]

Bloom W.R., 1995, Harmonic Analysis of Probability Measures on Hypergroups

[3] The von Neumann-Jordan constant for the Lebesgue spaces [J].