Additive results for the generalized Drazin inverse in a Banach algebra

Representations for the Drazin inverse of bounded operators on Banach space

“…For other important properties of Drazin inverses see ( [1], [2], [3], [5], [7], [8], [9], [10], [13], [15], [19], [21], [26], [27], [30], [31], [32], [33], [34]). …”

On the group inverse of linear combinations of two group invertible matrices

“…Recently, some formulas for the Drazin inverse of a sum of two matrices (or two bounded operators in a Banach space) under some conditions were given (see [4,5,7,8,9,10,11,14] and references therein). Let us remark that the group inverse…”

Some additive results on Drazin inverse

“…Again, it was extended for morphisms on arbitrary additive categories by Chen et al in [8]. More results on the Drazin inverse or the generalized Drazin inverse can also be found in [3,5,6,8,9,11,12,15]. In particular we must cite [13]: in this paper, the authors, under the commutative condition of AB = BA (when A and B are Drazin invertible linear operators in Banach spaces), gave explicit representations of (A + B) D in term of A, A D , B, and B D .…”