Rank and the Drazin inverse in Banach algebras
R. M. Brits, L. Lindeboom, H. Raubenheimer · Studia Mathematica · 2006
Let $A$ be an arbitrary, unital and semisimple Banach algebra with nonzero socle. We investigate the relationship between the spectral rank (defined by B. Aupetit and H. Mouton) and the Drazin index for elements belonging to the socle of $A$. In particula