Kreps-Yan theorem for Banach ideal spaces

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dc.creatorRokhlin, Dmitry B.
dc.date2008-04-14
dc.date.accessioned2026-07-07T09:32:11Z
dc.date.available2026-07-07T09:32:11Z
dc.descriptionLet $C$ be a closed convex cone in a Banach ideal space $X$ on a measurable space with a $σ$-finite measure. We prove that conditions $C\cap X_+=\{0\}$ and $C\supset -X_+$ imply the existence of a strictly positive continuous functional on $X$, whose restriction to $C$ is non-positive.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0804.2075
dc.identifierhttp://arxiv.org/abs/0804.2075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158721
dc.subjectFunctional Analysis
dc.subject46E30; 46B42
dc.titleKreps-Yan theorem for Banach ideal spaces
dc.typetext

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