Generalized Drazin invertibility of operator matrices
Generalized Drazin invertibility of operator matrices
Let A∈L(X) and B∈L(Y), where X and Y are Banach or separable Hilbert spaces, and let MC be an operator acting on X⊕Y given by MC=AC0B. We investigate the set ⋂C∈L(Y,X)σgD(MC), where σgD(MC) is the generalized Drazin spectrum of MC.