On stable perturbations for outer inverses of linear operators in Banach spaces

摘要

In this paper, we investigate stable perturbations and their characterizations for various types of outer inverses, such as generalized, {2,3}-, {2,4}-, {2,5}-, {1,2,3}-, {1,2,4}-, Moore-Penrose, group, Drazin and generalized Drazin inverses. Some known results are improved and extended.