Pointwise Compactness on Extreme Points

DOI10.2307/2043525zbMath0467.46014OpenAlexW4248238694MaRDI QIDQ3920140

Surjit Singh Khurana

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043525

zbMATH Keywords

integral representationextreme pointsbarycenterscompact convex subset of a locally convex spacespace of all affine continuous functions

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (12)

On convergence on the boundary of the unit ball in dual space ⋮ The boundary problem for \(L_{1}\)-preduals ⋮ Boundaries for Banach spaces determine weak compactness ⋮ A selection theorem for weak upper semi-continuous set-valued mappings ⋮ A characterisation of weak compactness in Banach spaces ⋮ Topologies of Pointwise Convergence on Families of Extremal Points and Weak Compactness ⋮ Separable subspaces of affine function spaces on convex compact sets ⋮ Quasicontinuity and Namioka's theorem ⋮ On the topology of pointwise convergence on the boundaries of 𝐿₁-preduals ⋮ Generalizations of a Theorem of Namioka ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

• Compacite Extremale
• Semi-Extremal Sets and Measure Representations
• A Device Of R. J. Whitley's Applied to Pointwise Compactness in Spaces of Continuous Functions
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