2017•FilomatOpen access

A note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space

Xuezhong Wang, Haifeng Ma, Marija Cvetković

Abstract

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.

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Key concepts: Mathematics, Drazin inverse, Banach space, Bounded operator, Linear operators, Bounded function, Inverse, Finite-rank operator