{
  "id": "1310.8055",
  "version": "v2",
  "published": "2013-10-30T08:04:36.000Z",
  "updated": "2013-11-01T11:15:12.000Z",
  "title": "Solution of Invariant Subspace Problem in the Hilbert space",
  "authors": [
    "Mübariz Garayev"
  ],
  "comment": "Since the proof of Claim 1 contains a gap; I withdraw my manuscript from Arxiv",
  "categories": [
    "math.FA"
  ],
  "abstract": "By applying methods of Duhamel algebra and reproducing kernels, we prove that every linear bounded operator on the Hardy-Hilbert space H^{2}(D) has a nontrivial invariant subspace. This solves affirmatively the Invariant Subspace Problem in the Hilbert space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-01T11:15:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12"
    ],
    "keywords": [
      "invariant subspace problem",
      "nontrivial invariant subspace",
      "linear bounded operator",
      "duhamel algebra",
      "hardy-hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.8055G"
    }
  }
}