{
  "id": "2203.09666",
  "version": "v1",
  "published": "2022-03-18T00:26:16.000Z",
  "updated": "2022-03-18T00:26:16.000Z",
  "title": "A new duality on closed convex sets",
  "authors": [
    "Xu Yun",
    "Li Jin",
    "Leng Gangsong"
  ],
  "comment": "25 pages",
  "categories": [
    "math.MG",
    "math.FA"
  ],
  "abstract": "In this paper we study a subclass of convex sets which are called closed pseudo-cones and introduce a new duality on this subclass. It turns out that the new duality characterizes closed pseudo-cones and is essentially the only possible abstract duality on them. The related classification of endomorphisms are also established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-18T00:26:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A20",
      "52C07",
      "06B05",
      "06A99"
    ],
    "keywords": [
      "closed convex sets",
      "duality characterizes closed pseudo-cones",
      "abstract duality",
      "related classification",
      "endomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}