{
  "id": "1711.06042",
  "version": "v1",
  "published": "2017-11-16T11:41:25.000Z",
  "updated": "2017-11-16T11:41:25.000Z",
  "title": "Norms of truncated Toeplitz operators and numerical radii of restricted shifts",
  "authors": [
    "Pamela Gorkin",
    "Jonathan R. Partington"
  ],
  "comment": "24 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "This paper gives a new approach to the calculation of the numerical radius of a restricted shift operator by linking it to the norm of a truncated Toeplitz operator (TTO), which can be be calculated by various methods. Further results on the norm of a TTO are derived, and a conjecture on the existence of continuous symbols for compact TTO is resolved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-16T11:41:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "47A12",
      "30H10"
    ],
    "keywords": [
      "truncated toeplitz operator",
      "numerical radius",
      "compact tto",
      "restricted shift operator",
      "calculation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}