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

Mixed-Type Reverse Order Laws for Generalized Inverses over Hilbert Space
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摘要 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. 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.
出处 《Applied Mathematics》 2017年第5期637-644,共8页 应用数学(英文)
关键词 {1 2 3}-Reverse 3 4}-Reverse REVERSE Order LAW Block-Operator Matrix {1 2 3}-Reverse 3 4}-Reverse Reverse Order Law Block-Operator Matrix
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