{
  "id": "0901.0193",
  "version": "v2",
  "published": "2009-01-01T20:32:38.000Z",
  "updated": "2009-06-30T19:52:20.000Z",
  "title": "On linear fractional transformations associated with generalized J-inner matrix functions",
  "authors": [
    "Vladimir Derkach",
    "Harry Dym"
  ],
  "comment": "41 pages",
  "journal": "Integr. Equ. Oper.Th., 65 (2009), 1-50",
  "doi": "10.1007/s00020-009-1709-7",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study generalized J-inner matrix valued functions which appear as resolvent matrices in various indefinite interpolation problems. Reproducing kernel indefinite inner product spaces associated with a generalized J-inner matrix valued function W are studied and intensively used in the description of the range of the linear fractional transformation associated with W and applied to the Schur class. For a subclass of generalized J-inner matrix valued function W the notion of associated pair is introduced and factorization formulas for W are found.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-30T19:52:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A56",
      "46C20",
      "46E22",
      "47A57",
      "47B20"
    ],
    "keywords": [
      "generalized j-inner matrix functions",
      "linear fractional transformations",
      "generalized j-inner matrix valued function",
      "indefinite inner product spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 817947,
      "adsabs": "2009arXiv0901.0193D"
    }
  }
}