HYPERCYCLICITY, SUPERCYCLICITY AND GENERALIZED RAKO?EVI?'S PROPERTY

doi:10.1016/S0252-9602(17)30017-6

Abstract

Abstract:

A Banach space operator satisfies generalized Rako?evi?'s property (gw) 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 spectrum of T. In this note, we characterize hypecyclic and supercyclic operators satisfying the property (gw).

Key words: Weyl's and a-Weyl's 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, Rako?evi?'s property

Mohamed AMOUCH, Youness FAOUZI. HYPERCYCLICITY, SUPERCYCLICITY AND GENERALIZED RAKO?EVI?'S PROPERTY[J].Acta mathematica scientia,Series B, 2017, 37(2): 503-510.

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