{
  "id": "0808.1731",
  "version": "v2",
  "published": "2008-08-12T20:26:54.000Z",
  "updated": "2008-11-11T01:24:44.000Z",
  "title": "Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications",
  "authors": [
    "Fritz Gesztesy",
    "Mark Malamud",
    "Marius Mitrea",
    "Serguei Naboko"
  ],
  "comment": "24 pages, Sect. 3 extended",
  "categories": [
    "math.FA",
    "math.SP"
  ],
  "abstract": "We study generalized polar decompositions of densely defined, closed linear operators in Hilbert spaces and provide some applications to relatively (form) bounded and relatively (form) compact perturbations of self-adjoint, normal, and m-sectorial operators.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-11T01:24:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A05",
      "47A07",
      "47A55"
    ],
    "keywords": [
      "hilbert spaces",
      "closed operators",
      "applications",
      "study generalized polar decompositions",
      "m-sectorial operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.1731G"
    }
  }
}