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Liapounoff’s vector measure theorem in Banach spaces and applications to general equilibrium theory
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Liapounoff’s vector measure theorem in Banach spaces and applications to general equilibrium theory
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Journal Article
Liapounoff’s vector measure theorem in Banach spaces and applications to general equilibrium theory
2013
Overview
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 J. Math.
2013
). We apply our result to integration of Banach space valued correspondences and to the core-Walras equivalence problem in coalitional exchange economies with an infinite-dimensional commodity space.
Publisher
Springer International Publishing,Springer Nature B.V
