Reverse order law of Drazin inverse for bounded linear operators

Abstract

In this paper, the reverse order law of Drazin inverse is investigated under some conditions in a Banach space. Moreover, the Drazin invertibility of sum for two bounded linear operators are also obtained.

Triple reverse order law of Drazin invertible operators

“…This problem was a source of interesting research as operator theorists sought to determine exactly what properties A and B must possess in order to satisfy this equality. Among the many paper which featured the aforesaid problem are [9,11]and [10]. One can find other related results for various inverses in [2][3][4] and references therein.…”