The range of vector measures over topological sets and a unified Liapunov theorem

DOI10.1006/jfan.2000.3717zbMath0993.28004OpenAlexW1969313458MaRDI QIDQ5937214

Daniel Wulbert

Publication date: 16 September 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3717

zbMATH Keywords

convex setsextreme pointsnonatomic Baire measuressupport of continuous functionsvector measures

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (1)

The Shapley-Folkman theorem and the range of a bounded measure: an elementary and unified treatment

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Liapunov's theorem on the range of a vector measure and Pontryagin's maximum principle
• A topological version of Liapunov's theorem
• Liapounov's convexity theorem for topological measures
• On two problems of Urysohn
• Liapanov's and Related Theorems
• Annihilating a subspace of 𝐿₁ with the sign of a continuous function
• The Range of Certain Vector Integrals
• A general Hobby-Rice theorem and cake cutting

This page was built for publication: The range of vector measures over topological sets and a unified Liapunov theorem