{
  "id": "2408.13753",
  "version": "v1",
  "published": "2024-08-25T07:36:56.000Z",
  "updated": "2024-08-25T07:36:56.000Z",
  "title": "Liftings and invariant subspaces of Hankel operators",
  "authors": [
    "Sneha B",
    "Neeru Bala",
    "Samir Panja",
    "Jaydeb Sarkar"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA",
    "math.CV",
    "math.OA"
  ],
  "abstract": "We prove a Hankel-variant commutant lifting theorem. This also uncovers the complete structure of the Beurling-type reducing and invariant subspaces of Hankel operators. Kernel spaces of Hankel operators play a key role in the analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-25T07:36:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30H10",
      "47B35",
      "32A35",
      "47B38",
      "46E20",
      "15B05"
    ],
    "keywords": [
      "invariant subspaces",
      "hankel-variant commutant lifting theorem",
      "hankel operators play",
      "complete structure",
      "kernel spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}