{
  "id": "2108.12685",
  "version": "v1",
  "published": "2021-08-28T18:06:53.000Z",
  "updated": "2021-08-28T18:06:53.000Z",
  "title": "The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator",
  "authors": [
    "Minsung Cho",
    "Seth Hoisington",
    "Roger Nichols",
    "Brian Udall"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression of Shin-Zettl type. The characterization is stated in terms of a specially chosen basis for the kernel of the maximal operator and employs a description of the Friedrichs extension due to M\\\"oller and Zettl.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-28T18:06:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B25",
      "47E05",
      "34B24",
      "34L40"
    ],
    "keywords": [
      "krein-von neumann extension",
      "order quasi-differential operator",
      "positive minimal operator corresponding",
      "order quasi-differential expression",
      "boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}