On a theorem of Dvoretsky, Wald, and Wolfowitz concerning Liapounov Measures

DOI10.1017/S0017089500006856zbMath0633.46049MaRDI QIDQ3771056

D. A. Edwards

Publication date: 1987

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

measurable partitionsweakly compact convex subsetLyapunov measurevector measures with infinite-dimensional range spaceweak*-compact convex subset of a dual Banach space

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Convex sets in topological linear spaces; Choquet theory (46A55) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (8)

Optimal stopping under model uncertainty: randomized stopping times approach ⋮ Liapounov's convexity theorem for topological measures ⋮ Purification, saturation and the exact law of large numbers ⋮ The bang-bang, purification and convexity principles in infinite dimensions ⋮ Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities ⋮ On maximal ranges of vector measures for subsets and purification of transition probabilities ⋮ On games with incomplete information and the Dvoretsky-Wald-Wolfowitz theorem with countable partitions ⋮ Extension of Lyapunov’s convexity theorem to subranges

Cites Work

• Dividing a cake fairly
• Weak Compactness and Vector Measures
• ON THE LYAPUNOFF-KNOWLES THEOREM
• How to Cut A Cake Fairly
• Lyapunov Vector Measures
• On a Theorem of Lyapunov
• Elimination of Randomization in Certain Statistical Decision Procedures and Zero-Sum Two-Person Games

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