Neyman, Abraham Decomposition of ranges of vector measures. (English) Zbl 0504.28013 Isr. J. Math. 40, 54-64 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 28B05 Vector-valued set functions, measures and integrals 28A99 Classical measure theory 52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces) Keywords:m-range of a vector measure; non-atomic vector measures; extreme subset; parallelepiped; definite zonoids; decomposition properties Citations:Zbl 0194.231 PDFBibTeX XMLCite \textit{A. Neyman}, Isr. J. Math. 40, 54--64 (1981; Zbl 0504.28013) 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.