Generalized inverses on normed vector spaces |
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Authors: | Delia Flores De Chela |
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Affiliation: | Mathematics Division University of Sussex Falmer, England |
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Abstract: | We extend the concepts, introduced by C.R. Rao for Euclidean norms, of minimum g-inverses and least square g-inverses, using arbitrary norms. We give a characterization of such generalized inverses and an application to the case in which the norm is l∞. As a result of this application we obtain that when has rank n, there exists a generalized inverse of A, which serves the same purpose as the Moore-Penrose inverse, when the norm is l∞. |
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