Liapounoff's vector measure theorem in Banach spaces

Michael Greinecker () and Konrad Podczeck ()

Working Papers from Faculty of Economics and Statistics, Universität Innsbruck

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].

Keywords: Liapounoff's theorem; vector measures; multifunctions (search for similar items in EconPapers)
Pages: 17
Date: 2013-08
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Persistent link: https://EconPapers.repec.org/RePEc:inn:wpaper:2013-20

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