Filomat 2017 Volume 31, Issue 2, Pages: 505-511
https://doi.org/10.2298/FIL1702505W
Full text (
237 KB)
A note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space
Wang Xue-Zhong (Hexi University, School of Mathematics and Statistics, Zhangye, Gansu, P.R. China)
Ma Hai-Feng (Harbin Normal University, School of Mathematical Science, Harbin, P.R. China)
Cvetković Marija 
(Faculty of Sciences and Mathematics, Niš)
We investigate the perturbation bound of the W-weighted Drazin inverse for
bounded linear operators between Banach spaces and present two explicit
expressions for the W-weighted Drazin inverse of bounded linear operators in
Banach space, which extend the results in Chin. Anna. Math., 21C:1 (2000)
39-44 by Wei.
Keywords: Perturbation, W-weighted Drazin inverse, Bounded linear operators, Banach space