A characterization of positive-semidefinite operators on a Hilbert space (Q1057462)
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scientific article; zbMATH DE number 3897640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of positive-semidefinite operators on a Hilbert space |
scientific article; zbMATH DE number 3897640 |
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A characterization of positive-semidefinite operators on a Hilbert space (English)
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1986
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We show that, under certain conditions, a Hilbert space operator is positive semidefinite whenever it is positive semidefinite plus on a closed convex cone and positive semidefinite on the polar cone (with respect to the operator). This result is a generalization of a result by Han and Mangasarian on matrices.
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weakly lower semi-continuous functions
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coercive operators
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polar cones
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linear complementarity problem
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a Hilbert space operator is positive semidefinite whenever it is positive semidefinite plus on a closed convex cone and positive semidefinite on the polar cone
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