{
  "id": "2206.09947",
  "version": "v1",
  "published": "2022-06-20T18:06:44.000Z",
  "updated": "2022-06-20T18:06:44.000Z",
  "title": "Norms of polynomials of the Volterra operator",
  "authors": [
    "Thomas Ransford",
    "Nathan Walsh"
  ],
  "comment": "15 pages, 7 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "We compute the operator norm of linear and real-quadratic polynomials of the Volterra operator. This is used to test whether the Crouzeix conjecture holds for the Volterra operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-20T18:06:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47G10",
      "47A12"
    ],
    "keywords": [
      "volterra operator",
      "crouzeix conjecture holds",
      "operator norm",
      "real-quadratic polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}