{
  "id": "0804.2075",
  "version": "v1",
  "published": "2008-04-14T14:25:57.000Z",
  "updated": "2008-04-14T14:25:57.000Z",
  "title": "Kreps-Yan theorem for Banach ideal spaces",
  "authors": [
    "Dmitry B. Rokhlin"
  ],
  "comment": "6 pages",
  "categories": [
    "math.FA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-14T14:25:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "46B42"
    ],
    "keywords": [
      "banach ideal space",
      "kreps-yan theorem",
      "closed convex cone",
      "finite measure",
      "restriction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.2075R"
    }
  }
}