New extensions of Cline’s formula for generalized inverses
Qingping Zeng, Zhenying Wu, Yongxian Wen · Filomat · 2017
In this paper, Cline?s formula for the well-known generalized inverses such as Drazin inverse, pseudo Drazin inverse and generalized Drazin inverse is extended to the case when ( acd = dbd dba = aca. Also, applications are given to some interesting Banach space operator properties like algebraic, meromorphic, polaroidness and B-Fredholmness.