{
  "id": "2107.09115",
  "version": "v1",
  "published": "2021-07-19T19:18:23.000Z",
  "updated": "2021-07-19T19:18:23.000Z",
  "title": "Symbols of compact truncated Toeplitz operators",
  "authors": [
    "Ryan O'Loughlin"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper characterises the dual of the model space $K_I^1$, where $I$ is an inner function, intersected with the shifted Hardy space, $z H^1$. With this duality result, it is then shown that every bounded truncated Toeplitz operator on the model space $K_I^2$ has a bounded symbol if and only if every compact truncated Toeplitz operator on $K_I^2$ has a symbol which is of the form $I$ multiplied by a continuous function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-19T19:18:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H10",
      "47B35",
      "46E20"
    ],
    "keywords": [
      "compact truncated toeplitz operator",
      "model space",
      "inner function",
      "shifted hardy space",
      "paper characterises"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}