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- W2952177717 abstract "Let A be a unital complex Banach algebra and p, q be two idempotents in A. In this paper, we prove that the Drazin (resp. generalized Drazin) invertibility of αp+βq−γpq is independent of the choice of scalars α,β∈C∖{0} and γ∈C, we also give a simple representation formula for the Drazin inverse of αp+βq. As an application, we study the left (resp. right) Drazin invertibility and the property of being Browder of linear combinations of two idempotent operators on a Banach space." @default.
- W2952177717 created "2019-06-27" @default.
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- W2952177717 date "2019-10-01" @default.
- W2952177717 modified "2023-10-17" @default.
- W2952177717 title "The Drazin and generalized Drazin invertibility of linear combinations of idempotents" @default.
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- W2952177717 doi "https://doi.org/10.1016/j.jmaa.2019.06.008" @default.
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