The Kreps-Yan theorem for L ∞

D. B. Rokhlin

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

Abstract:

We prove the following version of the Kreps-Yan theorem. For any norm-closed convex cone C ⊂ L ∞ such that C ∩ L + ∞ = { 0 } and C ⊃ − L + ∞ , there exists a strictly positive continuous linear functional, whose restriction on C is nonpositive. The technique of the proof differs from the usual approach, applicable to a weakly Lindelöf Banach space.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:316349

DOI: 10.1155/IJMMS.2005.2749

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