{
  "id": "1301.2837",
  "version": "v1",
  "published": "2013-01-14T01:16:29.000Z",
  "updated": "2013-01-14T01:16:29.000Z",
  "title": "A Note on $Γ_n$-isometries",
  "authors": [
    "Shibananda Biswas",
    "Subrata Shyam Roy"
  ],
  "comment": "Submitted",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this note we characterize the distinguished boundary of the symmetrized polydisc and thereby develop a model theory for $\\Gamma_n$-isometries along the lines of \\cite{AY}. We further prove that for invariant subspaces of $\\Gamma_n$-isometries, similar to the case $n=2$ \\cite{S}, Beurling-Lax-Halmos type representation holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-14T01:16:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A13",
      "47A15",
      "47A25",
      "47A45"
    ],
    "keywords": [
      "isometries",
      "beurling-lax-halmos type representation holds",
      "model theory",
      "invariant subspaces",
      "distinguished boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.2837B"
    }
  }
}