The p-Drazin inverse for operator matrix over Banach algebras
The p-Drazin inverse for operator matrix over Banach algebras
An element a in a Banach algebra A has p-Drazin inverse provided that there exists b ? comm(a) such that b = b2a,ak-ak+1b?J(A) for some k ? N. In this paper, we present new conditions for a block operator matrix to have p-Drazin inverse. As applications, we prove the p-Drazin …