Recurrence of Cosine Operator Functions on Groups

被引：5
作者：
Chen, Chung-Chuan [1 ]
机构：
[1] Natl Taichung Univ Educ, Dept Math Educ, Taichung, Taiwan
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2016年 / 59卷 / 04期
关键词：
topologically multiple recurrence; recurrence; topological transitivity; hypercyclicity; cosine operator function; BANACH-SPACES;
D O I：
10.4153/CMB-2016-011-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we study the recurrence and topologically multiple recurrence of a sequence of operators on Banach spaces. In particular, we give a sufficient and necessary condition for a cosine operator function, induced by a sequence of operators on the Lebesgue space of a locally compact group, to be topologically multiply recurrent.
引用
收藏
页码：693 / 704
页数：12
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