Property (WE) and topological uniform descent

Yanxun Ren; Lining Jiang; Yingying Kong

doi:10.36045/j.bbms.210413

Property (W_E) and topological uniform descent

Yanxun Ren, Lining Jiang^*, Yingying Kong

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We characterize the property (W_E) in terms of topological uniform descent, and give the transfer of property (W_E) from bounded linear operators to functions of operators. Moreover, the perturbation of property (W_E) under power finite rank operators is investigated. As an application, the property for hypercyclic operators and supercyclic operators is investigated.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	29
Issue number	1
DOIs	https://doi.org/10.36045/j.bbms.210413
Publication status	Published - Dec 2022

Keywords

Functions of operators
Perturbation
Property (W)
Topological uniform descent

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10.36045/j.bbms.210413

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abstract = "We characterize the property (WE) in terms of topological uniform descent, and give the transfer of property (WE) from bounded linear operators to functions of operators. Moreover, the perturbation of property (WE) under power finite rank operators is investigated. As an application, the property for hypercyclic operators and supercyclic operators is investigated.",

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AB - We characterize the property (WE) in terms of topological uniform descent, and give the transfer of property (WE) from bounded linear operators to functions of operators. Moreover, the perturbation of property (WE) under power finite rank operators is investigated. As an application, the property for hypercyclic operators and supercyclic operators is investigated.

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KW - Perturbation

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Property (W_E) and topological uniform descent

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Keywords

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