On continuity of the Moore-Penrose and Drazin generalized inverses
نویسندگان
چکیده
منابع مشابه
The reverse order law for Moore-Penrose inverses of operators on Hilbert C*-modules
Suppose $T$ and $S$ are Moore-Penrose invertible operators betweenHilbert C*-module. Some necessary and sufficient conditions are given for thereverse order law $(TS)^{ dag} =S^{ dag} T^{ dag}$ to hold.In particular, we show that the equality holds if and only if $Ran(T^{*}TS) subseteq Ran(S)$ and $Ran(SS^{*}T^{*}) subseteq Ran(T^{*}),$ which was studied first by Greville [{it SIAM Rev. 8 (1966...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1977
ISSN: 0024-3795
DOI: 10.1016/0024-3795(77)90079-9