{
  "id": "0710.0797",
  "version": "v1",
  "published": "2007-10-03T14:25:07.000Z",
  "updated": "2007-10-03T14:25:07.000Z",
  "title": "The eigenvalues of limits of radial Toeplitz operators",
  "authors": [
    "Daniel Suárez"
  ],
  "comment": "14 pages",
  "doi": "10.1112/blms/bdn042",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "Let $A^2$ be the Bergman space on the unit disk. A bounded operator $S$ on $A^2$ is called radial if $Sz^n = \\lambda_n z^n$ for all $n\\ge 0$, where $\\lambda_n$ is a bounded sequence of complex numbers. We characterize the eigenvalues of radial operators that can be approximated by Toeplitz operators with bounded symbols.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-03T14:25:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32A36",
      "47L80"
    ],
    "keywords": [
      "radial toeplitz operators",
      "eigenvalues",
      "radial operators",
      "unit disk",
      "complex numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0797S"
    }
  }
}