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On Drazin inverse of operator matrices - MaRDI portal

On Drazin inverse of operator matrices (Q616717)

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scientific article; zbMATH DE number 5835303
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On Drazin inverse of operator matrices
scientific article; zbMATH DE number 5835303

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    On Drazin inverse of operator matrices (English)
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    12 January 2011
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    In [\textit{N.\,Castro-González, E.\,Dopazo} and \textit{M.\,F.\thinspace Martínez-Serrano}, ``On the Drazin inverse of the sum of two operators and its application to operator matrices'', J.~Math.\ Anal.\ Appl.\ 350, No.\,1, 207--215 (2009; Zbl 1157.47001)], a formula for the Drazin inverse of an operator on a Banach space has been presented assuming a condition on a product. In this paper, a new formula for the Drazin inverse of an operator is given by using a similar assumption.
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    Drazin inverse
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    generalized inverses
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    bounded operators
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    Banach spaces
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