Property $(W_{E})$ and topological uniform descent
Yanxun Ren, Lining Jiang, Yingying Kong · Bulletin of the Belgian Mathematical Society - Simon Stevin · 2022
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.