{
  "id": "2002.12672",
  "version": "v1",
  "published": "2020-02-28T12:27:04.000Z",
  "updated": "2020-02-28T12:27:04.000Z",
  "title": "On kernels of Toeplitz operators",
  "authors": [
    "Maria T. Nowak",
    "Paweł Sobolewski",
    "Andrzej Sołtysiak",
    "Magdalena Wołoszkiewicz-Cyll"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We apply the theory of de Branges-Rovnyak spaces to describe kernels of some Toeplitz operators on the classical Hardy space $H^2$. In particular, we discuss the kernels of the operators $T_{\\bar f/ f}$ and $T_{\\bar I\\bar f/ f}$, where $f$ is an outer function in $H^2$ and $I$ is inner such that $I(0)=0$. We also obtain results on de Branges-Rovnyak spaces generated by nonextreme functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-28T12:27:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toeplitz operators",
      "branges-rovnyak spaces",
      "nonextreme functions",
      "outer function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}