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Decomposition of ranges of vector measures. (English) Zbl 0504.28013


MSC:

28B05 Vector-valued set functions, measures and integrals
28A99 Classical measure theory
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)

Citations:

Zbl 0194.231
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Full Text: DOI

References:

[1] Bolker, E., A class of convex bodies, Trans. Amer. Math. Soc., 145, 323-345 (1969) · Zbl 0194.23102 · doi:10.2307/1995073
[2] Choquet, G., Mesures coniques et affines invariants par isometries, zonoforms, zonoedres et jonctions de type negatif, C.R. Acad. Sci. Paris, 266, 619-621 (1968) · Zbl 0176.44404
[3] Dvoretzky, A.; Wald, A.; Wolfowitz, J., Relations among certain ranges of vector measures, Pacific J. Math., 1, 59-74 (1951) · Zbl 0044.15002
[4] Rickert, N. W., The range of a measure, Bull. Amer. Math. Soc., 73, 560-563 (1967) · Zbl 0153.38201
[5] W. Rudin,Functional Analysis, McGraw-Hill, Inc., 1973. · Zbl 0253.46001
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