{
  "id": "math/0612790",
  "version": "v3",
  "published": "2006-12-27T15:51:29.000Z",
  "updated": "2008-01-03T18:56:57.000Z",
  "title": "A Generalization of Beurling's Theorem and Quasi-Inner Functions",
  "authors": [
    "Yun-Su Kim"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We introduce two kinds of quasi-inner functions. Since every rationally invariant subspace for a shift operator $S_K$ on a vector-valued Hardy space $H^{2}(\\Omega,K)$ is generated by a quasi-inner function, we also provide relationships of quasi-inner functions by comparing rationally invariant subspaces generated by them. Furthermore, we discuss fundamental properties of quasi-inner functions, and quasi-inner divisors.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-01-03T18:56:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B30",
      "42B35",
      "17C65"
    ],
    "keywords": [
      "quasi-inner function",
      "beurlings theorem",
      "rationally invariant subspaces",
      "generalization",
      "shift operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12790K"
    }
  }
}