Choquet theorem

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Choquet theorem

[shō′kā ‚thir·əm]
(mathematics)
Let K be a compact convex set in a locally convex Hausdorff real vector space and assume that either (1) the set of extreme points of K is closed or (2) K is metrizable; then for every point x in K there is at least one Radon probability measure m on X, concentrated on the set of extreme points of K, such that x is the centroid of m.
References in periodicals archive ?
Phelps, Lectures on Choquet Theory. Van Nostrand Reinhold, New York, 1966.
Among their topics are the Choquet theory of functional spaces, simplificial function spaces, topologies on boundaries, constructions of function spaces, and functional spaces in potential theory and the Dirichlet problem.