Further results on the reverse order law for the Moore-Penrose inverse in rings with involution |
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Authors: | Dijana Mosi? Dragan S. Djordjevi? |
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Affiliation: | Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia |
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Abstract: | We present some equivalent conditions of the reverse order law for the Moore-Penrose inverse in rings with involution, extending some well-known results to more general settings. Then we apply this result to obtain a set of equivalent conditions to the reverse order rule for the weighted Moore-Penrose inverse in C∗-algebras. |
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Keywords: | Moore-Penrose inverse Reverse order law Ring with involution |
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