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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