Yet Another Proof of the Lyapunov Convexity Theorem

DOI10.2307/2047697zbMath0685.28005OpenAlexW4236415084MaRDI QIDQ4735364

Zvi Artstein

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047697

zbMATH Keywords

vector measureLyapunov convexity theorem

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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A pointwise constrained version of the Liapunov convexity theorem for vectorial linear first-order control systems ⋮ A pointwise constrained version of the Liapunov convexity theorem for single integrals ⋮ The Shapley-Folkman theorem and the range of a bounded measure: an elementary and unified treatment ⋮ On independence and determination of probability measures ⋮ Lyapunov's convexity theorem, zonoids, and bang-bang

Cites Work

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• Some further generalizations of a theorem of Lyapounov
• On the range of an unbounded vector-valued measure
• Another Proof of the Liapunov Convexity Theorem
• The range of a vector measure