{
  "id": "math/0702835",
  "version": "v1",
  "published": "2007-02-27T14:50:41.000Z",
  "updated": "2007-02-27T14:50:41.000Z",
  "title": "Relaxed commutant lifting: an equivalent version and a new application",
  "authors": [
    "A. E. Frazho",
    "S. ter Horst",
    "M. A. Kaashoek"
  ],
  "comment": "14 pages",
  "categories": [
    "math.FA",
    "math.OC"
  ],
  "abstract": "This paper presents a few additions to commutant lifting theory. An operator interpolation problem is introduced and shown to be equivalent to the relaxed commutant lifting problem. Using this connection a description of all solutions of the former problem is given. Also a new application, involving bounded operators induced by $H^2$ operator-valued functions, is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-27T14:50:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A20",
      "47A57",
      "30D55",
      "47B38",
      "47A56"
    ],
    "keywords": [
      "equivalent version",
      "application",
      "operator interpolation problem",
      "commutant lifting theory",
      "relaxed commutant lifting problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2835F"
    }
  }
}