{
  "id": "1607.03342",
  "version": "v1",
  "published": "2016-07-12T13:06:38.000Z",
  "updated": "2016-07-12T13:06:38.000Z",
  "title": "Characterizations of asymmetric truncated Toeplitz operators",
  "authors": [
    "Joanna Blicharz",
    "Cristina Câmara",
    "Kamila Kliś--Garlicka",
    "Marek Ptak"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this paper is to investigate asymmetric truncated Toeplitz operators with $L^2$ symbols between two different model spaces given by inner functions such that one divides the other. Characterizations of these operators are given in terms of rank two operators. A description of the class of symbols for which the corresponding asymmetric truncated Toeplitz operator is equal to the zero operator is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-12T13:06:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "30H10",
      "47A15"
    ],
    "keywords": [
      "characterizations",
      "corresponding asymmetric truncated toeplitz operator",
      "zero operator",
      "inner functions",
      "model spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}