On the $g_z$-Kato decomposition and generalization of Koliha Drazin invertibility

Z. Aznay, A. Ouahab, H. Zariouh

In \cite{koliha}, Koliha proved that $T\in L(X)$ ($X$ is a complex Banach space) is generalized Drazin invertible operator equivalent to there exists an operator $S$ commuting with…