Disjoint topological transitivity for cosine operator functions on weighted Orlicz spaces

被引:0
|
作者
Chen, Chung-Chuan [1 ]
机构
[1] Natl Taichung Univ Educ, Dept Math Educ, Taichung 403, Taiwan
关键词
Disjoint topological transitivity; Cosine operator function; Weighted Orlicz space; Locally compact group; HYPERCYCLIC OPERATORS; TRANSLATIONS;
D O I
10.1016/j.topol.2023.108563
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we give sufficient conditions for sequences of operators to be disjoint topologically transitive on the weighted Orlicz spaces of locally compact groups. This condition also ensures the disjoint blow-up/collapse property holds. In our case, these sequences of operators can be regarded as cosine operator functions. Disjoint topological mixing for such cosine operator functions is investigated as well. (c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数:12
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