{
  "id": "1312.1362",
  "version": "v1",
  "published": "2013-12-04T21:32:37.000Z",
  "updated": "2013-12-04T21:32:37.000Z",
  "title": "Nonextreme de Branges-Rovnyak spaces as models for contractions",
  "authors": [
    "Javad Mashreghi",
    "Dan Timotin"
  ],
  "comment": "15v pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The de Branges--Rovnyak spaces are known to provide an alternate functional model for contractions on a Hilbert space, equivalent to the Sz.-Nagy--Foias model. The scalar de Branges--Rovnyak spaces $\\mathcal{H}(b)$ have essentially different properties, according to whether the defining function $b$ is or not extreme in the unit ball of $H^\\infty$. For $b$ extreme the model space is just $\\mathcal{H}(b)$, while for $b$ nonextreme an additional construction is required. In the present paper we identify the precise class of contractions which have as a model $\\mathcal{H}(b)$ with $b$ nonextreme.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-04T21:32:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A45",
      "47B35"
    ],
    "keywords": [
      "branges-rovnyak spaces",
      "nonextreme",
      "contractions",
      "alternate functional model",
      "precise class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.1362M"
    }
  }
}