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Mixed-Type Reverse Order Laws for Generalized Inverses over Hilbert Space

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Document pages: 8 pages

Abstract: In this paper, by using a block-operator matrix technique, we study mixed-type reverse order laws for {1,3}-, {1,2,3}- and {1,3,4}-generalized inverses over Hilbert spaces. It is shown that and when the ranges of are closed. Moreover, a new equivalent condition of is given.

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