{
  "id": "1403.4038",
  "version": "v1",
  "published": "2014-03-17T09:22:35.000Z",
  "updated": "2014-03-17T09:22:35.000Z",
  "title": "Abstract interpolation problem in generalized Schur classes",
  "authors": [
    "D. Baidiuk"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "An indefinite variant of the abstract interpolation problem is considered. Associated to this problem is a model Pontryagin space isometric operator V. All the solutions of the problem are shown to be in a one-to-one correspondence with a subset of the set of all unitary extenions U of V. These unitary extension U of V are realized as unitary colligations with the indefinite de Branges-Rovnyak space as a state space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-17T09:22:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E05",
      "47A48",
      "47B50",
      "46E22"
    ],
    "keywords": [
      "abstract interpolation problem",
      "generalized schur classes",
      "model pontryagin space isometric operator",
      "state space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.4038B"
    }
  }
}