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Archiv der Mathematik

, Volume 70, Issue 1, pp 74–82 | Cite as

The range of a vector measure and a Radon-Nikodym problem for the variation

  • Carmen Romero-Moreno
  • 34 Downloads

Abstract.

In this paper 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.

Keywords

Vector Measure 
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Copyright information

© Birkhäuser Verlag, Basel 1998

Authors and Affiliations

  • Carmen Romero-Moreno
    • 1
  1. 1.Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, E-41080 Sevilla, SpainES

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