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Liapounoff's vector measure theorem in Banach spaces

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  • Michael Greinecker

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  • Konrad Podczeck

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Abstract

We present a result on convexity and weak compactness of the range of a vector measure with values in a Banach space, based on the Maharam classification of measure spaces. Our result extends a recent result of Khan and Sagara [Illinois Journal of Mathematics, forthcoming].

Suggested Citation

  • Michael Greinecker & Konrad Podczeck, 2013. "Liapounoff's vector measure theorem in Banach spaces," Working Papers 2013-20, Faculty of Economics and Statistics, University of Innsbruck.
  • Handle: RePEc:inn:wpaper:2013-20
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    File URL: https://www2.uibk.ac.at/downloads/c4041030/wpaper/2013-20.pdf
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    References listed on IDEAS

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    1. Podczeck, Konrad, 2008. "On the convexity and compactness of the integral of a Banach space valued correspondence," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 836-852, July.
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    Keywords

    Liapounoff�s theorem; vector measures; multifunctions;

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