Kreps-Yan theorem for Banach ideal spaces

Dmitry B. Rokhlin

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arXiv · 0804.2075

Kreps-Yan theorem for Banach ideal spaces

Dmitry B. Rokhlin

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Abstract

Let $C$ 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.

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BibTeX RIS

Dmitry B. Rokhlin. 2008-04-14. Kreps-Yan theorem for Banach ideal spaces. https://arxiv.org/abs/0804.2075

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