Romero-Moreno, M. C. The range of a vector measure and a Radon-Nikodým problem for the variation. (English) Zbl 0917.46043 Arch. Math. 70, No. 1, 74-82 (1998). Summary: We show that the range of a vector measure of bounded variation determines the existence of a norm one derivative of the variation with respect to the measure. We also characterize those ranges of \(L^1(\lambda)\)-valued vector measures with this property. MSC: 46G10 Vector-valued measures and integration 28B05 Vector-valued set functions, measures and integrals Keywords:range of a vector measure of bounded variation; \(L^1(\lambda)\)-valued vector measures PDFBibTeX XMLCite \textit{M. C. Romero-Moreno}, Arch. Math. 70, No. 1, 74--82 (1998; Zbl 0917.46043) Full Text: DOI