Triple reverse order law of Drazin inverse for bounded linear operators

Abstract

In this paper we study the triple reverse-order law  $(ABC)^{D}=C^{D}B^{D}A^{D}$ for the Drazin invertible operators $A,B$ and $C$ under the commutative relations $[AB,B]=0$, $[BC,B]=0$ and $[AB,BC]=0$.