%0 Journal Article
%T Kreps-Yan theorem for Banach ideal spaces
%A Dmitry B. Rokhlin
%J Mathematics
%D 2008
%I arXiv
%X Let $C$ be a closed convex cone in a Banach ideal space $X$ on a measurable space with a $\sigma$-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.
%U http://arxiv.org/abs/0804.2075v1