{
  "id": "2110.06379",
  "version": "v3",
  "published": "2021-10-12T22:02:03.000Z",
  "updated": "2022-10-11T13:42:09.000Z",
  "title": "Spectra for Toeplitz Operators Associated with a Constrained Subalgebra",
  "authors": [
    "Christopher Felder",
    "Douglas T. Pfeffer",
    "Benjamin P. Russo"
  ],
  "comment": "20 pages, no figures",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "A two-point algebra is a set of bounded analytic functions on the unit disk that agree at two distinct points $a,b \\in \\mathbb{D}$. This algebra serves as a multiplier algebra for the family of Hardy Hilbert spaces $H^2_t := \\{ f\\in H^2 : f(a)=tf(b)\\}$, where $t\\in \\mathbb{C}\\cup\\{\\infty\\}$. We show that various spectra of certain Toeplitz operators acting on these spaces are connected.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-10-11T13:42:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A75",
      "47B35"
    ],
    "keywords": [
      "toeplitz operators",
      "constrained subalgebra",
      "hardy hilbert spaces",
      "unit disk",
      "bounded analytic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}