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Additive properties of G-Drazin inverse of linear operators

Published 27 May 2019 in math.RA | (1905.11095v1)

Abstract: In this paper, we investigate additive properties of generalized Drazin inverse for linear operators in Banach spaces. Under new polynomial conditions on generalized Drazin invertible operators a and b, we prove their sum has generalized Drazin inverse and give explicit representations of the generalized inverse $(a+b)d$.

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