{
  "id": "1509.07084",
  "version": "v1",
  "published": "2015-09-23T18:24:21.000Z",
  "updated": "2015-09-23T18:24:21.000Z",
  "title": "Dilations, Wandering Subspaces, and Inner Functions",
  "authors": [
    "M. Bhattacharjee",
    "J. Eschmeier",
    "Dinesh K. Keshari",
    "Jaydeb Sarkar"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA",
    "math.CV",
    "math.OA"
  ],
  "abstract": "The object of this paper is to study wandering subspaces for commuting tuples of operators on Hilbert spaces. It is shown that, for a large class of analytic functional Hilbert spaces on the unit ball, wandering subspaces for restrictions of the multiplication tuple $M_z = (M_{z_1}, \\ldots ,M_{z_n})$ can be described in terms of suitable inner multipliers. Necessary and sufficient conditions for the existence of generating wandering subspaces are given. Along the way we prove a useful uniqueness result for minimal dilations of pure row contractions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-23T18:24:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H05",
      "46E22",
      "46M05",
      "46N99",
      "47A13",
      "47A15",
      "47A20",
      "47A45",
      "47B32",
      "47B38"
    ],
    "keywords": [
      "inner functions",
      "analytic functional hilbert spaces",
      "pure row contractions",
      "study wandering subspaces",
      "unit ball"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150907084B"
    }
  }
}