{
  "id": "math/0512465",
  "version": "v2",
  "published": "2005-12-20T13:38:51.000Z",
  "updated": "2005-12-22T14:32:20.000Z",
  "title": "On the invariant subspace problem for dissipative operators in Krein spaces",
  "authors": [
    "A. A. Shkalikov"
  ],
  "comment": "8 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We relax assumptions for a dissipative operator in Krein space to possess a maximal non-negative invariant subspace. Our main result is a generalization of a well-known Pontrjagin-Krein-Langer-Azizov theorem. Then we investigate the semigroup properties of the restriction of the operator onto the invariant subspace.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-12-22T14:32:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A15",
      "47B50"
    ],
    "keywords": [
      "invariant subspace problem",
      "krein space",
      "dissipative operator",
      "well-known pontrjagin-krein-langer-azizov theorem",
      "maximal non-negative invariant subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12465S"
    }
  }
}