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• W2086442813 abstract "The paper is largely expository. It is shown that if a(x) is a smooth unital Banach algebra valued function of a parameter x, and if a(x) has a locally bounded generalized inverse in the algebra, then a generalized inverse of a(x) exists which is as smooth as a(x) is. Smoothness is understood in the sense of having a certain number of continuous derivatives, being real-analytic, or complex holomorphic. In the complex holomorphic case, the space of parameters is required to be a Stein manifold. Local formulas for the generalized inverses are given. In particular, the Moore–Penrose and the generalized Drazin inverses are studied in this context." @default.
• W2086442813 created "2016-06-24" @default.
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• W2086442813 creator A5068991016 @default.
• W2086442813 date "2012-12-01" @default.
• W2086442813 modified "2023-09-23" @default.
• W2086442813 title "Smoothness of generalized inverses" @default.
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• W2086442813 doi "https://doi.org/10.1016/j.indag.2012.09.009" @default.
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