{
  "id": "1812.03517",
  "version": "v1",
  "published": "2018-12-09T16:44:07.000Z",
  "updated": "2018-12-09T16:44:07.000Z",
  "title": "Invertibility of functions of operators and existence of hyperinvariant subspaces",
  "authors": [
    "Maria F. Gamal'"
  ],
  "comment": "Submitted to Acta Sci. Math. (Szeged)",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $T$ be an absolutely continuous polynomially bounded operator, and let $\\theta$ be a singular inner function. It is shown that if $\\theta(T)$ is invertible and some additional conditions are fulfilled, then $T$ has nontrivial hyperinvariant subspaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-09T16:44:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A15",
      "47A60",
      "47A10"
    ],
    "keywords": [
      "invertibility",
      "nontrivial hyperinvariant subspaces",
      "singular inner function",
      "additional conditions",
      "absolutely continuous polynomially bounded operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}