{
  "id": "2306.04402",
  "version": "v1",
  "published": "2023-06-07T13:02:15.000Z",
  "updated": "2023-06-07T13:02:15.000Z",
  "title": "Operators on anti-dual pairs: Supremum and infimum of positive operators",
  "authors": [
    "Zsigmond Tarcsay",
    "Ábel Göde"
  ],
  "comment": "9 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Our purpose in this note is to investigate the order properties of positive operators from a locally convex space into its conjugate dual. We introduce a natural generalization of the Busch-Gudder strength function and we prove Kadison's anti-lattice theorem and Ando's result on the infimum of positive operators in that context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-07T13:02:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B65",
      "46A20"
    ],
    "keywords": [
      "positive operators",
      "anti-dual pairs",
      "busch-gudder strength function",
      "kadisons anti-lattice theorem",
      "andos result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}