New additive results for the g-Drazin inverse
N. Castro González, J. J. Koliha · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2004
This paper studies additive properties of the generalized Drazin inverse (g-Drazin inverse) in a Banach algebra and finds an explicit expression for the g-Drazin inverse of the sum a + b in terms of a and b and their g-Drazin inverses under fairly mild conditions on a and b.