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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].

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    File URL: http://eeecon.uibk.ac.at/wopec2/repec/inn/wpaper/2013-20.pdf
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    Bibliographic Info

    Paper provided by Faculty of Economics and Statistics, University of Innsbruck in its series Working Papers with number 2013-20.

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    Length: 17
    Date of creation: Aug 2013
    Date of revision:
    Handle: RePEc:inn:wpaper:2013-20

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    Keywords: Liapounoff’s theorem; vector measures; multifunctions;

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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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