Vector lattices associated with ordered vector spaces (Q711441)
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scientific article; zbMATH DE number 5805938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vector lattices associated with ordered vector spaces |
scientific article; zbMATH DE number 5805938 |
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Vector lattices associated with ordered vector spaces (English)
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26 October 2010
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The vector lattice generated by a real Archimedean vector space \(V\) is considered. It is proved that the cone \(C\) of all positive linear forms on \(V\) separates elements of \(V\). Then the positive linear forms are determined in terms of conical measures on the cone \(C\).
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ordered vector spaces
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vector lattices
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Choquet theory
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conical measures
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