HYPERCYCLIC AND SUPERCYCLIC OPERATORS SATISFYING GENERALIZED A-WEYL'S THEOREM

Authors

  • Mohamed Amouch University Chouaib Doukkali - Department of Mathematics
  • Youness Faouzi University Chouaib Doukkali - Faculty of Sciences

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, supercyclicity

Abstract

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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Published

2016-07-29

How to Cite

Amouch, M., & Faouzi, Y. (2016). HYPERCYCLIC AND SUPERCYCLIC OPERATORS SATISFYING GENERALIZED A-WEYL’S THEOREM. Italian Journal of Pure and Applied Mathematics, 36, 203–210. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6636

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Section

Articoli - Forum Editrice

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