## Banach Journal of Mathematical Analysis

### Some new perturbation results for generalized inverses of closed linear operators in Banach spaces

#### Abstract

We consider the perturbation and expression for the generalized inverse and Moore--Penrose inverse of closed linear operator under a weaker perturbation condition. As a application, we also investigate the perturbation for the Moore--Penrose inverse of closed $EP$ operator. Some new and interesting perturbation results and examples are obtained in this paper.

#### Article information

Source
Banach J. Math. Anal., Volume 6, Number 2 (2012), 58-68.

Dates
First available in Project Euclid: 13 July 2012

https://projecteuclid.org/euclid.bjma/1342210160

Digital Object Identifier
doi:10.15352/bjma/1342210160

Mathematical Reviews number (MathSciNet)
MR2945988

Zentralblatt MATH identifier
1257.47004

#### Citation

Huang, Qianglian; Zhu, Lanping; Yu, Jiena. Some new perturbation results for generalized inverses of closed linear operators in Banach spaces. Banach J. Math. Anal. 6 (2012), no. 2, 58--68. doi:10.15352/bjma/1342210160. https://projecteuclid.org/euclid.bjma/1342210160

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