Dynamics of Composition Operators on Hilbert Spaces of Dirichlet Series

被引：0
|
作者：
Yao, Xingxing [1 ]
机构：
[1] Wuhan Inst Technol, Hubei Key Lab Opt Informat & Pattern Recognit, Wuhan 430205, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 04期
基金：
美国国家科学基金会;
关键词：
Composition operator; Dirichlet series; Cyclicity; Hypercyclicity; WEIGHTED COMPOSITION OPERATORS; BERGMAN SPACES; INVARIANT;
D O I：
10.1007/s41980-021-00584-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we investigate the dynamic behavior of composition operators on Hilbert spaces of Dirichlet series. Especially, we characterize completely their cyclicity. Then it is shown that there are no hypercyclic composition operators, and given a certain class of operators whose adjoints are hypercyclic. All these indicate that there are indigent cyclic composition operators.
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页码：1281 / 1291
页数：11
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