{
  "id": "2005.02243",
  "version": "v1",
  "published": "2020-05-05T14:43:01.000Z",
  "updated": "2020-05-05T14:43:01.000Z",
  "title": "Almost invariant subspaces of the shift operator on vector-valued Hardy spaces",
  "authors": [
    "Arup Chattopadhyay",
    "Soma Das",
    "Chandan Pradhan"
  ],
  "comment": "13 pages, Submitted for publication",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-05T14:43:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A13",
      "47A15",
      "47A80",
      "46E20",
      "47B38",
      "47B32",
      "30H10"
    ],
    "keywords": [
      "invariant subspace",
      "vector-valued hardy space",
      "vector valued hardy space",
      "finite defect",
      "backward shift operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}