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.
Citation
Yanxun Ren. Lining Jiang. Yingying Kong. "Property $(W_{E})$ and topological uniform descent." Bull. Belg. Math. Soc. Simon Stevin 29 (1) 1 - 17, december 2022. https://doi.org/10.36045/j.bbms.210413
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