Perturbations of Drazin invertible operators

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• 作者：Kaifan Yang (1)
  Hongke Du (2)
  
• 关键词：Drazin inverse ; small norm perturbation ; finite rank perturbation ; 47A55 ; 47A58 ; 47A05 ; 15A09
• 刊名：Frontiers of Mathematics in China
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：10
• 期：1
• 页码：199-208
• 全文大小：194 KB
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• 作者单位：Kaifan Yang (1)
  Hongke Du (2)
  
  1. School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, 723001, China
  2. College of Mathematics and Information Science, Shaanxi Normal University, Xi鈥檃n, 710062, China
  
• ISSN：1673-3576

文摘

The necessary and sufficient conditions for the small norm perturbation of a Drazin invertible operator to be still Drazin invertible and the sufficient conditions for the finite rank perturbation of a Drazin invertible operator to be still Drazin invertible are established.