Lyapunov's Theorem

Discipline: Economics

Named after Russian mathematician A A LYAPUNOV, Lyapunov's theorem asserts that the range of a non-atomic totally finite vector-valued measure is both convex and compact.

Source:
A A Lyapunov, 'On Completely Additive Vector-Functions', Izvestia Akademii Nauk SSSR, vol. IV (1940), 465-78

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