{
  "id": "1504.06446",
  "version": "v1",
  "published": "2015-04-24T09:45:17.000Z",
  "updated": "2015-04-24T09:45:17.000Z",
  "title": "Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol",
  "authors": [
    "M. Cristina Câmara",
    "Jonathan R. Partington"
  ],
  "comment": "29 pages, 1 figure",
  "categories": [
    "math.FA",
    "math.CV",
    "math.SP"
  ],
  "abstract": "Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space $H^p$ of the half-plane for $1<p<\\infty$. It is shown that they are equivalent after extension to $2 \\times 2$ matricial Toeplitz operators, which allows one to deduce information about their invertibility properties. Shifted model spaces are presented in the context of invariant subspaces, allowing one to deduce new Beurling--Lax theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-24T09:45:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "30H10"
    ],
    "keywords": [
      "asymmetric truncated toeplitz operators",
      "matrix symbol",
      "matricial toeplitz operators",
      "hardy space",
      "asymmetric versions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}