On support points and support functionals of convex sets

DOI10.1007/s11856-009-0037-6zbMath1181.46010OpenAlexW2014933711MaRDI QIDQ836100

Libor Veselý, Carlo Alberto De Bernardi

Publication date: 31 August 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0037-6

zbMATH Keywords

support pointspathwise connected setsupport functionals

Mathematics Subject Classification ID

Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (3)

A parametric smooth variational principle and support properties of convex sets and functions ⋮ On support points and continuous extensions ⋮ SUM THEOREMS FOR MAXIMALLY MONOTONE OPERATORS OF TYPE (FPV)

Cites Work

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• Continuous selections. I
• Local connectedness of support points
• Connectedness properties of support points of convex sets
• Parametric Ekeland's variational principle
• Support functionals and their relation to the Radon-Nikodym property
• Geometric aspects of convex sets with the Radon-Nikodym property
• Weak compactness and reflexivity
• Some topological properties of support points of convex sets
• A proof that every Banach space is subreflexive
• Separation Properties of Convex Cones

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