A note on barycentres of measures in noncompact convex sets (Q1076934)
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scientific article; zbMATH DE number 3955701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on barycentres of measures in noncompact convex sets |
scientific article; zbMATH DE number 3955701 |
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A note on barycentres of measures in noncompact convex sets (English)
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1985
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The aim is to prove a localized version of Bourgin and Edgar's theorem on unique representing measures in noncompact simplexes. Let C be a closed bounded convex set in a Banach space with the Radon-Nikodym property. The main result is that a point x in C is the barycentre of a unique maximal tight probability measure if and only if the face generated by x is a simplex.
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localized version of Bourgin and Edgar's theorem on unique
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representing measures in noncompact simplexes
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Radon-Nikodym property
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barycentre
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unique maximal tight probability measure
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face
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localized version of Bourgin and Edgar's theorem on unique representing measures in noncompact simplexes
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0.9011836
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0.8931254
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0.8853966
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0.88329566
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