Perturbations of Drazin invertible operators

doi:10.1007/s11464-014-0436-9

Front. Math. China

2015, Vol. 10

Issue (1) : 199-208 https://doi.org/10.1007/s11464-014-0436-9

RESEARCH ARTICLE

Perturbations of Drazin invertible operators

Kaifan YANG^1,^*(

),Hongke DU²

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

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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.

Keywords Drazin inverse small norm perturbation finite rank perturbation

Corresponding Author(s): Kaifan YANG

Issue Date: 30 December 2014

Cite this article:

Kaifan YANG,Hongke DU. Perturbations of Drazin invertible operators[J]. Front. Math. China, 2015, 10(1): 199-208.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-014-0436-9
https://academic.hep.com.cn/fmc/EN/Y2015/V10/I1/199

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