{
  "id": "1912.07985",
  "version": "v1",
  "published": "2019-12-17T13:02:37.000Z",
  "updated": "2019-12-17T13:02:37.000Z",
  "title": "Oseledets splitting and invariant manifolds on fields of Banach spaces",
  "authors": [
    "Mazyar Ghani Varzaneh",
    "Sebastian Riedel"
  ],
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator. As an application, we prove an invariant manifold theorem for nonlinear cocycles acting on measurable fields of Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-17T13:02:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H15",
      "37L55",
      "37B55"
    ],
    "keywords": [
      "banach spaces",
      "oseledets splitting",
      "measurable fields",
      "invariant manifold theorem",
      "assume invertibility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}