{
  "id": "1402.6737",
  "version": "v1",
  "published": "2014-02-26T22:53:15.000Z",
  "updated": "2014-02-26T22:53:15.000Z",
  "title": "Some remarks on the Krein--von Neumann extension of different Laplacians",
  "authors": [
    "Delio Mugnolo"
  ],
  "comment": "13 pages",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "We discuss the Krein--von Neumann extensions of three Laplacian-type operators -- on discrete graphs, quantum graphs, and domains. In passing we present a class of one-dimensional elliptic operators such that for any $n\\in \\mathbb N$ infinitely many elements of the class have $n$-dimensional null space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-26T22:53:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D06",
      "35J25"
    ],
    "keywords": [
      "krein-von neumann extension",
      "laplacians",
      "dimensional null space",
      "one-dimensional elliptic operators",
      "quantum graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.6737M"
    }
  }
}