Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces

Chung-Chuan Chen

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Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces

机译：Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces

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摘要

In this paper, we characterize topologically multiple recurrence for a single operator and sequences of operators on the Orlicz spaces of locally compact groups. These sequences of operators can be regarded as cosine operator functions. The sufficient conditions for sequences of operators to be disjoint topologically transitive and disjoint topologically mixing are given as well.

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来源
《Iranian Journal of Science》 |2023年第3期|951-959|共9页
作者
Chung-Chuan Chen;
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作者单位

Department of Mathematics Education, National Taichung University of Education, Taichung 403, Taiwan;

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原文格式 PDF
正文语种英语
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关键词
Topologically multiple recurrence; Disjoint topological transitivity; Orlicz space; Locally compact group;

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Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces

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