{
  "id": "2212.07808",
  "version": "v1",
  "published": "2022-12-14T14:45:44.000Z",
  "updated": "2022-12-14T14:45:44.000Z",
  "title": "Factorization of Characteristic Functions of Iterated Liftings",
  "authors": [
    "Neeru Bala",
    "Santanu Dey",
    "M. N. Reshmi"
  ],
  "comment": "19 pages",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We obtain a factorization of the characteristic function of a contractive two-step iterated lifting in terms of the characteristic functions of constituent liftings of the iterated lifting and the Julia-Halmos matrix. We also give an expression for the characteristic function of the minimal part of a contractive two-step iterated lifting as a restriction of the product of the characteristic functions of constituent liftings of the iterated lifting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-14T14:45:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A20",
      "47A13",
      "47A15",
      "47A68"
    ],
    "keywords": [
      "characteristic function",
      "factorization",
      "contractive two-step iterated lifting",
      "constituent liftings",
      "minimal part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}