数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (2): 503-510.doi: 10.1016/S0252-9602(17)30017-6

• 论文 • 上一篇    下一篇

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

Mohamed AMOUCH1, Youness FAOUZI2   

  1. Department of Mathematics University Chouaib Doukkali, Faculty of Sciences, Eljadida, 24000, Eljadida, Morocco
  • 收稿日期:2015-08-04 修回日期:2016-07-11 出版日期:2017-04-25 发布日期:2017-04-25
  • 作者简介:Mohamed AMOUCH,E-mail:mohamed.amouch@gmail.com;Youness FAOUZI,E-mail:yfaouzi2015@gmail.com

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

Mohamed AMOUCH1, Youness FAOUZI2   

  1. Department of Mathematics University Chouaib Doukkali, Faculty of Sciences, Eljadida, 24000, Eljadida, Morocco
  • Received:2015-08-04 Revised:2016-07-11 Online:2017-04-25 Published:2017-04-25

摘要:

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).

关键词: 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

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