Additive property of pseudo Drazin inverse of elements in Banach algebras
Huihui Zhu, Jianlong Chen · Filomat · 2014
This article concerns the pseudo Drazin inverse of the sums (resp. differences) and the products of elements in a Banach algebra A. Some equivalent conditions for the existence of the pseudo Drazin inverse of a + b (resp. a - b) are characterized. Moreover, the representations for the pseudo Drazin inverse are given. Some related known results are generalized.