{
  "id": "2003.12549",
  "version": "v1",
  "published": "2020-03-27T17:31:58.000Z",
  "updated": "2020-03-27T17:31:58.000Z",
  "title": "Nearly invariant subspaces for operators in Hilbert spaces",
  "authors": [
    "Yuxia Liang",
    "Jonathan R. Partington"
  ],
  "comment": "16 pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "For a shift operator $T$ with finite multiplicity acting on a separable infinite dimensional Hilbert space we represent its nearly $T^{-1}$ invariant subspaces in terms of invariant subspaces under the backward shift. Going further, given any finite Blaschke product $B$, we give a description of the nearly $T_{B}^{-1}$ invariant subspaces for the operator $T_B$ of multiplication by $B$ in a scale of Dirichlet-type spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-27T17:31:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "47A15"
    ],
    "keywords": [
      "invariant subspaces",
      "separable infinite dimensional hilbert space",
      "finite blaschke product",
      "finite multiplicity",
      "dirichlet-type spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}