Frontiers of Mathematics in China >

2015 , Vol. 10 >Issue 1: 199 - 208

DOI: https://doi.org/10.1007/s11464-014-0436-9

RESEARCH ARTICLE

Perturbations of Drazin invertible operators

  • Kaifan YANG , 1 ,
  • Hongke DU 2
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  • 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’an 710062, China

Received date: 21 Apr 2011

Accepted date: 30 Oct 2014

Published date: 30 Dec 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

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.

Key words： Drazin inverse; small norm perturbation; finite rank perturbation

Cite this article

Kaifan YANG , Hongke DU . Perturbations of Drazin invertible operators[J]. Frontiers of Mathematics in China, 2015 , 10(1) : 199 -208 . DOI: 10.1007/s11464-014-0436-9

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