References
Blackwell, D., The range of a vector measure. Proceedings Am. Math. Soc. 2, 390–395 (1951).
Dvoretzky, A., A. Wald, & J. Wolfowitz, Relations among certain ranges of vector measures. Pacific J. of Mathematics 1, 59–74 (1951).
Halkin, H., On the necessary condition for optimal control of nonlinear systems. J. d'Analyse Mathématique 12, 1–82 (1964).
Halmos, P. R., The range of a vector measure. Bull. Am. Math. Soc. 54, 416–421 (1948).
Karlin, S., Extreme points of vector functions. Proceedings Am. Math. Soc. 4, 603–610 (1953).
Lyapounov, A., Sur les fonctions vecteurs complètement additives. Bull. Acad. Sci. URSS, 4, 465–478 (1940) [in Russian with a French résumé].
Halkin, H., On a generalization of a theorem of Lyapounov, to appear in J. Math. Anal. and Appl.
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Communicated by M. M. Schiffer
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Halkin, H. Some further generalizations of a theorem of Lyapounov. Arch. Rational Mech. Anal. 17, 272–277 (1964). https://doi.org/10.1007/BF00282290
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DOI: https://doi.org/10.1007/BF00282290