{
  "id": "1804.00295",
  "version": "v2",
  "published": "2018-04-01T13:20:27.000Z",
  "updated": "2018-09-14T02:05:27.000Z",
  "title": "Numerical Ranges of Composition Operators with Elliptic Automorphism Symbols",
  "authors": [
    "Yong-Xin Gao",
    "Ze-Hua Zhou"
  ],
  "comment": "14 Pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we investigate the numerical ranges of composition operators whose symbols are elliptic automorphisms of finite orders, on the Hilbert Hardy space $H^2(D)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2018-09-14T02:05:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "46E20",
      "47B38",
      "46L40",
      "32H02"
    ],
    "keywords": [
      "elliptic automorphism symbols",
      "composition operators",
      "numerical ranges",
      "hilbert hardy space",
      "finite orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}