{
  "id": "2404.04348",
  "version": "v1",
  "published": "2024-04-05T18:40:52.000Z",
  "updated": "2024-04-05T18:40:52.000Z",
  "title": "On existence of hyperinvariant subspaces for quasinilpotent operators with a nonsymmetry in the growth of the resolvent",
  "authors": [
    "Maria F. Gamal'"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $T$ be a quasinilpotent operator on a Banach space. Under assumptions of a certain nonsymmetry in the growth of the resolvent of $T$, it is proved that every operator in the commutant of $T$ is not unicellular. In particular, $T$ has nontrivial hyperinvariant subspaces. The proof is based on a modification of the reasoning of [S].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-05T18:40:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47A15",
      "47B01"
    ],
    "keywords": [
      "quasinilpotent operator",
      "nonsymmetry",
      "nontrivial hyperinvariant subspaces",
      "banach space",
      "assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}