title: On Liapunov's convexity theorem.
abstract: A necessary and sufficient condition is given for the range of a finite Rn-valued measure to be convex. A related result is given for Banach-valued set functions.
authors.affiliation: Department of Theoretical Mathematics, Weizmann Institute of Science, Rehovot, Israel.
authors.forename: A
authors.initials: A
authors.lastname: Dvoretzky
mesh_terms: D008962:Models, Theoretical