A generalized Drazin inverse
J. J. Koliha · Glasgow Mathematical Journal · 1996
The main theme of this paper can be described as a study of the Drazin inverse for bounded linear operators in a Banach spaceXwhen 0 is an isolated spectral point ofthe operator. This inverse is useful for instance in the solution of differential equations formulated in a Banach spaceX. Since the elements ofXrarely enter into our considerations, the exposition seems to gain in clarity when the operators are regarded as elements of the Banach algebraL(X).