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- W778788835 abstract "If a 3-tuple (A:H1→H1,B:H2→H1,C:H2→H2)of operators on Hibert spaces is given,we proved that the operator ~↑A:=(↑A ↓B^*↑B ↓C) on H=H1+H2 is ≥0 is and only if A≥0,R(B)∪→R(A^1/2) and C≥B^* A^+b,where A^+ is the generalized inverse of A.In general,A^+ is a closed operator,but since R(B)∪→R(A^1/2,B^* A^+B is bounded yet." @default.
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- W778788835 date "1992-01-01" @default.
- W778788835 modified "2023-09-23" @default.
- W778788835 title "Operator Matrix Forms of Positive Operators" @default.
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