Representations for the generalized Drazin inverse in a Banach algebra

Benítez López Julio, XIAOJI LIU, Qin Yonghui

2013

Bulletin of Mathematical Analysis and Applications

In this paper, we investigate additive properties for the generalized Drazin inverse in a Banach algebra A. We give some representations for the generalized Drazin inverse of a+b, where a and b are elements of A under some new conditions, extending some known results.