HYPERCYCLIC AND SUPERCYCLIC OPERATORS SATISFYING GENERALIZED A-WEYL'S THEOREM
Keywords:
Weyl's and a-Weyl's theorems, theorems;generalized Weyl's and generalized a-Weyl's theorems, Browder's and a-Browder's theorems, generalized Browder's and generalized a-Browder's, hypercyclicity, supercyclicityAbstract
A Banach space operator T satisfies generalized a-Weyl's theorem if the complement of its upper semi B-Weyl spectrum in its approximate point spectrum is the set of eigenvalues of T which are isolated in the approximate spectrum of T. In this note we characterize hypecyclic and supercyclic operators satisfying generalized a-Weyl's theorem.
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Copyright (c) 2016 Mohamed Amouch, Youness Faouzi

This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

