{
  "id": "1702.08147",
  "version": "v1",
  "published": "2017-02-27T04:54:35.000Z",
  "updated": "2017-02-27T04:54:35.000Z",
  "title": "A Szegö type theorem for truncated Toeplitz operators",
  "authors": [
    "Elizabeth Strouse",
    "Dan Timotin",
    "Mohamed Zarrabi"
  ],
  "comment": "19 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Truncated Toeplitz operators are compressions of multiplication operators on $L^2$ to model spaces (that is, subspaces of $H^2$ which are invariant with respect to the backward shift). For this class of operators we prove certain Szeg\\\"o type theorems concerning the asymptotics of their compressions to an increasing chain of finite dimensional model spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-27T04:54:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "30J10",
      "47A45"
    ],
    "keywords": [
      "truncated toeplitz operators",
      "finite dimensional model spaces",
      "multiplication operators",
      "compressions",
      "type theorems concerning"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}