{
  "id": "1812.07432",
  "version": "v1",
  "published": "2018-12-18T15:26:40.000Z",
  "updated": "2018-12-18T15:26:40.000Z",
  "title": "Hypercyclicity and compactness of co-analytic Toeplitz operators on de Branges-Rovnyak spaces",
  "authors": [
    "Rim Alhajj"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study the compactness and the hypercyclicity of Toeplitz operators in the de Branges-Rovnyak spaces H(b) with co-analytic and bounded symbols on D. We highlight the fundamental role played by the function b generating the de Branges-Rovnyak space H(b). The characterization of compactness depends wether b is inner function or not and the characterization of hypercyclicity depends wether the function log(1-|b|) is integrable or not.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-18T15:26:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30J05",
      "30H10",
      "46E22",
      "47A16"
    ],
    "keywords": [
      "co-analytic toeplitz operators",
      "branges-rovnyak space",
      "hypercyclicity",
      "compactness",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}