{
  "id": "1804.08485",
  "version": "v1",
  "published": "2018-04-23T14:59:01.000Z",
  "updated": "2018-04-23T14:59:01.000Z",
  "title": "Interpolation in de Branges-Rovnyak spaces",
  "authors": [
    "Joseph A. Ball",
    "Vladimir Bolotnikov",
    "Sanne Ter Horst"
  ],
  "comment": "10 pages",
  "journal": "Proceedings of the AMS 139 (2011), 609-618",
  "categories": [
    "math.FA"
  ],
  "abstract": "A general interpolation problem with operator argument is studied for functions f from the de Branges-Rovnyak space H(s) associated with an analytic function s mapping the open unit disk D into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form f(A)c = b (with a suitable interpretation of f(A)c) for given Hilbert space operator A and two vectors b; c from the same space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-23T14:59:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E05",
      "47A57",
      "46E22"
    ],
    "keywords": [
      "branges-rovnyak space",
      "general interpolation problem",
      "hilbert space operator",
      "open unit disk",
      "operator argument"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}