Skip to main content
SpringerLink
Log in

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

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, E-41080 Sevilla, Spain, , , , , , ES

    Carmen Romero-Moreno

Authors
  1. Carmen Romero-Moreno
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 16.12.1996; new version received 24.2.1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Romero-Moreno, C. The range of a vector measure and a Radon-Nikodym problem for the variation. Arch. Math. 70, 74–82 (1998). https://doi.org/10.1007/s000130050167

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000130050167

Keywords

Search

Navigation