A Noncompact Choquet Theorem

DOI10.2307/2040645zbMath0273.46012OpenAlexW4249804963MaRDI QIDQ5182120

G. A. Edgar

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040645

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Vector-valued measures and integration (46G10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (14)

The simplex structure of the classical states of the quantum harmonic oscillator ⋮ On Lipschitz maps, martingales, and the Radon-Nikodým property for \(\mathsf{F}\)-spaces ⋮ The root problem for stochastic and doubly stochastic operators ⋮ Entropy-approachability for transitive Markov shifts over infinite alphabet ⋮ Noise stability of functions with low influences: invariance and optimality ⋮ Drops in quasi-Banach spaces ⋮ Extremal integral representations ⋮ Noncompact simplexes in Banach spaces with the Radon-Nikodym property ⋮ Unnamed Item ⋮ The extremal structure of convex sets ⋮ The Radon-Nikodym Property and Dentable Sets in Banach Spaces ⋮ An Analogue of the Radon-Nikodym Property for Non-Locally Convex Quasi-Banach Spaces ⋮ Der Satz von Choquet-Bishop-de Leeuw für konvexe nicht kompakte Mengen straffer Maße über beliebigen Grundräumen ⋮ Unimodular measures on the space of all Riemannian manifolds

Cites Work

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• Dilations and extremal measures
• Dentability and extreme points in Banach spaces
• On extreme points in separable conjugate spaces
• On rings of operators. Reduction theory
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• Barycenters of Measures on Certain Noncompact Convex Sets
• Extensions of Measures and the Von Neumann Selection Theorem

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