Topological mixing for cosine operator functions generated by shifts

被引：13

作者：

Chang, Shih-Ju ^{[1
]}

Chen, Chung-Chuan ^{[1
]}

机构：

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

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 02期

关键词：

Topologically mixing operator; Topologically transitive operator; Hypercyclic operator; l(p)-Space; HYPERCYCLIC OPERATORS; SEMIGROUPS; SPACES;

D O I：

10.1016/j.topol.2012.11.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 1 <= p < infinity. We characterize topologically mixing cosine operator functions, generated by unilateral and bilateral weighted shifts on l(p)(N-0) and l(p)(Z) respectively. We also give sufficient conditions for such cosine operator functions to be topologically transitive. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：382 / 386

页数：5

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