{
  "id": "math/0309077",
  "version": "v2",
  "published": "2003-09-04T17:29:17.000Z",
  "updated": "2004-01-15T13:46:10.000Z",
  "title": "Boundary triples and Weyl functions for singular perturbations of self-adjoint operators",
  "authors": [
    "Andrea Posilicano"
  ],
  "comment": "Misprints corrected. To appear in Methods of Functional Analysis and Topology",
  "categories": [
    "math.FA"
  ],
  "abstract": "Given the symmetric operator $A_N$ obtained by restricting the self-adjoint operator $A$ to $N$, a linear dense set, closed with respect to the graph norm, we determine a convenient boundary triple for the adjoint $A_N^*$ and the corresponding Weyl function. These objects provide us with the self-adjoint extensions of $A_N$ and their resolvents.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-01-15T13:46:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-adjoint operator",
      "singular perturbations",
      "convenient boundary triple",
      "linear dense set",
      "self-adjoint extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9077P"
    }
  }
}