{
  "id": "1104.4428",
  "version": "v1",
  "published": "2011-04-22T12:29:54.000Z",
  "updated": "2011-04-22T12:29:54.000Z",
  "title": "Normal extensions escape from the class of weighted shifts on directed trees",
  "authors": [
    "Zenon Jan Jablonski",
    "Il Bong Jung",
    "Jan Stochel"
  ],
  "comment": "9 pages",
  "journal": "Complex Anal. Oper. Theory, 7 (2013), 409-419",
  "categories": [
    "math.FA"
  ],
  "abstract": "A formally normal weighted shift on a directed tree is shown to be a bounded normal operator. The question of whether a normal extension of a subnormal weighted shift on a directed tree can be modeled as a weighted shift on some, possible different, directed tree is answered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-22T12:29:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B15",
      "47B37",
      "47B20"
    ],
    "keywords": [
      "directed tree",
      "normal extensions escape",
      "bounded normal operator",
      "formally normal weighted shift",
      "subnormal weighted shift"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.4428J"
    }
  }
}