{
  "id": "2404.02355",
  "version": "v1",
  "published": "2024-04-02T22:56:45.000Z",
  "updated": "2024-04-02T22:56:45.000Z",
  "title": "Quasi-selfadjoint extensions of dual pairs of linear relations",
  "authors": [
    "Guixin Xu",
    "Guojing Ren"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA",
    "math.SP"
  ],
  "abstract": "This paper investigates quasi-selfadjoint extensions of dual pairs of linear relations in Hilbert spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear relation associated with a dual pair of linear relations is introduced. Necessary and sufficient conditions for quasi-selfadjoint extensions of dual pairs of linear relations are obtained. These results extends the corresponding results for dual pairs of linear operators to dual pairs of linear relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-02T22:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A06",
      "47A57",
      "47B25"
    ],
    "keywords": [
      "dual pair",
      "quasi-selfadjoint extensions",
      "hermitian linear relation",
      "hilbert spaces",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}