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