HYPERCYCLIC WEIGHTED TRANSLATIONS ON GROUPS

被引：88

作者：

Chen, C. ^{[1
]}

Chu, C-H. ^{[1
]}

机构：

[1] Univ London, Sch Math Sci, London E1 4NS, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 08期

关键词：

Hypercyclic operator; topologically mixing operator; convolution; locally compact group; L-p-space; CONVOLUTION-OPERATORS; SPACES; CRITERION; SEQUENCES; VECTORS;

D O I：

10.1090/S0002-9939-2011-10718-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a locally compact group and let 1 <= p < infinity. We characterize hypercyclic weighted translation operators on the Lebesgue space L-p(G) in terms of the weight, extending a recent result by the authors for discrete groups. Topologically mixing weighted translations are also characterized.

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页码：2839 / 2846

页数：8

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