{
  "id": "1409.8022",
  "version": "v1",
  "published": "2014-09-29T08:27:17.000Z",
  "updated": "2014-09-29T08:27:17.000Z",
  "title": "Subnormal weighted shifts on directed trees whose nth powers have trivial domain",
  "authors": [
    "Piotr Budzynski",
    "Zenon Jan Jablonski",
    "Il Bong Jung",
    "Jan Stochel"
  ],
  "comment": "13 pages, 1 figure",
  "categories": [
    "math.FA"
  ],
  "abstract": "It is shown that for any positive integer n there exists a subnormal weighted shift on a directed tree whose nth power is closed and densely defined while its (n + 1)th power has trivial domain. Similar result for composition operators in L2-spaces is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-29T08:27:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B20",
      "47B37",
      "47B33"
    ],
    "keywords": [
      "subnormal weighted shift",
      "nth power",
      "trivial domain",
      "directed tree",
      "similar result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.8022B"
    }
  }
}