On the Radon-Nikodým theorem for measures with values in vector lattices (Q1071885)
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scientific article; zbMATH DE number 3939631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Radon-Nikodým theorem for measures with values in vector lattices |
scientific article; zbMATH DE number 3939631 |
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On the Radon-Nikodým theorem for measures with values in vector lattices (English)
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1985
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Measures with values in a countably order-complete vector lattice are considered. The underlying \(\sigma\)-algebra is assumed to be \(\sigma\)- isomorphic to the Borel sets of the real line. Given one such measure, densities are searched which are necessarily scalar-valued for smaller measures. The results can be used to prove the existence of a least upper bound for two such measures.
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Radon-Nikodým theorem
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vector-valued measure
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transition measure
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Measures with values in a countably order-complete vector lattice
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