Kreps-Yan theorem for Banach ideal spaces

Dmitry B. Rokhlin

Kreps-Yan theorem for Banach ideal spaces

Functional Analysis 2008-04-15 v1

Authors: Dmitry B. Rokhlin

Abstract

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.

Keywords

fixed point in banach spaces banach spaces banach space properties

Cite

@article{arxiv.0804.2075,
  title  = {Kreps-Yan theorem for Banach ideal spaces},
  author = {Dmitry B. Rokhlin},
  journal= {arXiv preprint arXiv:0804.2075},
  year   = {2008}
}

Comments

6 pages

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