Liapounov's convexity theorem for topological measures

DOI10.1007/BF01197598zbMath0854.28004OpenAlexW2032739830MaRDI QIDQ1924986

Hermann Render, Heinrich Stroetmann

Publication date: 27 October 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197598

zbMATH Keywords

vector measurestopological measuresseparable metric spaceLiapunov's convexity theoremnon-atomic Borel measures

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (3)

The range of vector measures over topological sets and a unified Liapunov theorem ⋮ A general Hobby-Rice theorem and cake cutting ⋮ Annihilating a subspace of 𝐿₁ with the sign of a continuous function

Cites Work

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• Dividing a cake fairly
• Connectedness properties of the range of vector and semimeasures
• Liapanov's and Related Theorems
• Liapounoff's Theorem for Nonatomic, Finitely-Additive, Bounded, Finite-Dimensional, Vector-Valued Measures
• On a theorem of Dvoretsky, Wald, and Wolfowitz concerning Liapounov Measures
• How to Cut A Cake Fairly
• Lyapunov theorems for operator algebras
• A Quick Proof for a One-Dimensional Version of Liapounoff's Theorem
• Zur Existenz analoger Bereiche

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