Representations for the generalized Drazin inverse of the sum in a Banach algebra and its application for some operator matrices.

ABSTRACT: We investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a + b, under new conditions on a, b ∈ A. As an application we give some new representations for the generalized Drazin inverse of an operator matrix.

SUBMITTER: Liu X 

PROVIDER: S-EPMC4333281 | biostudies-other | 2015

REPOSITORIES: biostudies-other