{
  "id": "2312.05685",
  "version": "v1",
  "published": "2023-12-09T21:22:36.000Z",
  "updated": "2023-12-09T21:22:36.000Z",
  "title": "On KB and Levi operators in Banach lattices",
  "authors": [
    "Eduard Emelyanov"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that an order continuous Banach lattice E is a KB-space if and only if each positive compact operator on E is a KB operator. We give conditions on quasi-KB (resp., quasi-Levi) operators to be KB (resp., Levi), study norm completeness and domination for these operators, and show that neither KB nor Levi operators are stable under rank one perturbations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-09T21:22:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "levi operators",
      "order continuous banach lattice",
      "study norm completeness",
      "positive compact operator",
      "kb operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}