HYPERCYCLICITY, SUPERCYCLICITY AND GENERALIZED RAKOEVIC'S PROPERTY  

作　　者：Mohamed AMOUCH Youness FAOUZI 

机构地区：[1]Department of Mathematics University Chouaib Doukkali, Faculty of Sciences, Eljadida, 24000, Eljadida, Morocco

出　　处：《Acta Mathematica Scientia》2017年第2期503-510,共8页数学物理学报（B辑英文版）

摘　　要：A Banach space operator satisfies generalized RakoSevi5＇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）.A Banach space operator satisfies generalized RakoSevi5＇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）.

关 键 词：Weyl＇s and ^-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 Rakocevic＇s property 

分 类 号：O177.2[理学—数学] TP311.13[理学—基础数学]