A Note on the Perturbation Bounds of $W$-Weighted Drazin Inverse of Linear Operator in Banach Space


Xue-Zhong Wang, Hai-Feng Ma, Marija Cvetković




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 \emph{Chin. Anna. Math.}, 21C:1 (2000) 39--44 by Wei.