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HYPERCYCLICITY, SUPERCYCLICITY AND GENERALIZED RAKOEVIC'S PROPERTY

HYPERCYCLICITY, SUPERCYCLICITY AND GENERALIZED RAKOEVIC'S PROPERTY
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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).
出处 《Acta Mathematica Scientia》 SCIE CSCD 2017年第2期503-510,共8页 数学物理学报(B辑英文版)
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 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
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