{
  "id": "0803.1278",
  "version": "v3",
  "published": "2008-03-09T04:02:20.000Z",
  "updated": "2008-09-21T17:00:43.000Z",
  "title": "Nevanlinna-Pick interpolation for $C+BH^\\infty$",
  "authors": [
    "Mrinal Raghupathi"
  ],
  "comment": "19 pages, no figures",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "Given an inner function $B$ we classify the invariant subspaces of the algebra $H^\\infty_B:=\\mathbb{C}+BH^\\infty$. We derive a formula in terms of these invariant subspaces for the distance of an element in $L^\\infty$ to a certain weak*-closed ideal in $H^\\infty_B$ and use this to prove an analogue of the Nevanlinna-Pick interpolation theorem.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-09-21T17:00:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A57",
      "46E22"
    ],
    "keywords": [
      "invariant subspaces",
      "nevanlinna-pick interpolation theorem",
      "inner function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1278R"
    }
  }
}