The Kreps--Yan theorem for \(L^\infty\) (Q2368394)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Kreps--Yan theorem for \(L^\infty\) |
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The Kreps--Yan theorem for \(L^\infty\) (English)
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19 April 2006
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The author proves the following separation theorem: If \(C\) is a closed convex cone in \(L_\infty\) such that \(C\cap L_\infty^+=0\) and \(C\supset -L_\infty^+\), then there is a strictly positive linear functional whose restriction to \(C\) is nonpositive.
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positive functional
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separation
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cone
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