SUPERCYCLIC AND CESARO HYPERCYCLIC WEIGHTED TRANSLATIONS ON GROUPS

被引：11

作者：

Chen, Chung-Chuan ^{[1
]}

机构：

[1] Natl Taichung Univ Educ, Dept Math Educ, Taichung 403, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 05期

关键词：

Supercyclic operators; Cesaro hypercyclic operators; Locally compact groups; L-p-spaces; OPERATORS; SHIFTS;

D O I：

10.11650/twjm/1500406799

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a locally compact group and let 1 <= p < infinity. We characterize supercyclic weighted translation operators on the Lebesgue space L-p(G) in terms of the weight. Using this result, the characterization for Cesaro hypercyclic weighted translation operators is given. We also determine when scalar multiples of weighted translation operators are hypercyclic and topologically mixing, and show, for any weighted translation operator T, beta T is mixing for all beta is an element of (1, 4) if T and 4T are mixing.

引用

页码：1815 / 1827

页数：13