Xiaoji Liu, Xiaolan Qin, Julio Benítez
Abstract
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In this paper, 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.
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In this paper, 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.
Key concepts: Drazin inverse, Mathematics, Banach algebra, Inverse, Generalized inverse, Pure mathematics, Banach space, Algebra over a field