Characterization of a Hilbert vector lattice by the metric projection onto its positive cone

DOI10.1016/S0021-9045(03)00087-XzbMath1030.46020MaRDI QIDQ1404941

D. Massart

Publication date: 25 August 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Sublinear operators

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Banach lattices (46B42) Characterizations of Hilbert spaces (46C15)

Related Items (7)

Characterization of latticial cones in Hilbert spaces by isotonicity and generalized infimum ⋮ Domination of quadratic forms ⋮ A duality between the metric projection onto a convex cone and the metric projection onto its dual ⋮ A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces ⋮ Inequalities characterizing coisotone cones in Euclidean spaces ⋮ Isotone retraction cones in Hilbert spaces ⋮ Characterization of subdual latticial cones in Hilbert spaces by the isotonicity of the metric projection

Cites Work

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• Projection methods, isotone projection cones, and the complementarity problem
• Monotonicity of metric projection onto positive cones of ordered Euclidean spaces
• Every generating isotone projection cone is latticial and correct
• Inequalities related to isotonicity of projection and antiprojection operators

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