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Siberian Mathematical Journal

, Volume 50, Issue 1, pp 162–166 | Cite as

The Kreps-Yan theorem for Banach ideal spaces

  • D. B. Rokhlin
Article

Abstract

Consider a closed convex cone C in a Banach ideal space X on some measure space with σ-finite measure. We prove that the fulfilment of the conditions CX + = {0} and C⊃−X + guarantees the existence of a strictly positive continuous functional on X whose restriction to C is nonpositive.

Keywords

Kreps-Yan theorem Banach ideal space σ-finite measure cone separation 

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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Southern Federal UniversityRostov-on-DonRussia

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