{
  "id": "2206.11557",
  "version": "v1",
  "published": "2022-06-23T09:09:53.000Z",
  "updated": "2022-06-23T09:09:53.000Z",
  "title": "Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space",
  "authors": [
    "Miguel Angel Rodriguez Rodriguez"
  ],
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "We present and study commutative Banach algebras generated by Toeplitz operators with generalized quasi-radial pseudo-homogeneous symbols acting on the Bergman space over the unit ball. We develop the Gelfand theory of these algebras and give some structural information about them. In particular, we provide a description of the radical of these algebras. This paper generalizes and completes the results from previous works related to Toeplitz operators with quasi-radial quasi-homogeneous symbols.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-23T09:09:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toeplitz operators",
      "bergman space",
      "quasi-radial pseudo-homogeneous symbols acting",
      "study commutative banach algebras",
      "generalized quasi-radial pseudo-homogeneous symbols"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}