A characterization of positive-semidefinite operators on a Hilbert space

DOI10.1007/BF00940568zbMath0563.47016MaRDI QIDQ1057462

M. Seetharama Gowda

Publication date: 1986

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

linear complementarity problempolar conesa Hilbert space operator is positive semidefinite whenever it is positive semidefinite plus on a closed convex cone and positive semidefinite on the polar conecoercive operatorsweakly lower semi-continuous functions

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on ordered spaces (47B60)

Related Items (1)

Foundations of Set-Semidefinite Optimization

Cites Work

• Conjugate cone characterization of positive definite and semidefinite matrices
• Cone characterizations of positive semidefinite operators on a Hilbert space

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