{
  "id": "2404.03087",
  "version": "v1",
  "published": "2024-04-03T22:02:39.000Z",
  "updated": "2024-04-03T22:02:39.000Z",
  "title": "Szegő Limit Theorem for Truncated Toeplitz Operators",
  "authors": [
    "Nazar Miheisi",
    "Ryan O'Loughlin"
  ],
  "categories": [
    "math.FA",
    "math.SP"
  ],
  "abstract": "We discuss generalizations of the Szeg\\H{o} Limit Theorem to truncated Toeplitz operators. In particular, we consider compressions of Toeplitz operators to an increasing sequence of finite dimensional model spaces. We present two theorems. The first is a new variant of the Szeg\\H{o} Limit Theorem in this setting. The second relates to the variant given by Strouse-Timotin-Zarrabi in 2017, and characterizes the sequences for which that result holds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-03T22:02:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "30J10",
      "30H10"
    ],
    "keywords": [
      "truncated toeplitz operators",
      "limit theorem",
      "finite dimensional model spaces",
      "second relates",
      "result holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}