{
  "id": "2204.10117",
  "version": "v1",
  "published": "2022-04-21T14:11:23.000Z",
  "updated": "2022-04-21T14:11:23.000Z",
  "title": "Hölder continuity of Oseledets subspaces for linear cocycles on Banach spaces",
  "authors": [
    "Chiyi Luo",
    "Yun Zhao"
  ],
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "Let $f:X\\to X$ be an invertible Lipschitz transformation on a compact metric space $X$. Given a H\\\"{o}lder continuous invertible operator cocycles on a Banach space and an $f$-invariant ergodic measure, this paper establishes the H\\\"{o}lder continuity of Oseledets subspaces over a compact set of arbitrarily large measure. This extends a result in \\cite{Simion16} for invertible operator cocycles on a Banach space. Finally, this paper proves the H\\\"{o}lder continuity in the non-invertible case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-21T14:11:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach space",
      "oseledets subspaces",
      "hölder continuity",
      "linear cocycles",
      "invariant ergodic measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}