Topological transitivity for cosine operator functions on groups

被引：10

作者：

Chen, Chung-Chuan ^{[1
]}

机构：

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

来源：

TOPOLOGY AND ITS APPLICATIONS | 2015年 / 191卷

关键词：

Topological transitivity; Cosine operator function; Hypercyclic operator; Locally compact group; L-P-Space; HYPERCYCLIC OPERATORS; BANACH-SPACES; CHAOTIC SEMIGROUPS; WEIGHTED SHIFTS;

D O I：

10.1016/j.topol.2015.05.005

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 give a necessary and sufficient condition for a cosine operator function induced by a weighted translation operator on the Lebesgue space L-P(G) to be topologically transitive. By the same argument, the characterization for mixing cosine operator functions is given. We also determine when the direct sum of a sequence of cosine operator functions is transitive. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：48 / 57

页数：10

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