{
  "id": "2211.11111",
  "version": "v1",
  "published": "2022-11-20T22:49:45.000Z",
  "updated": "2022-11-20T22:49:45.000Z",
  "title": "Spectral theorem approach to commutative C* -algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases",
  "authors": [
    "Grigori Rozenblum",
    "Nikolai Vasilevski"
  ],
  "categories": [
    "math.FA",
    "math.CV",
    "math.OA"
  ],
  "abstract": "We consider commutative C* -algebras of Toeplitz operators in the weighted Bergman space on the unit ball in $\\mathbb{C}^{\\mathbf{n}}$. For the algebras of elliptic type we find a new representation, namely as the algebra of operators which are functions of certain collections of commuting unbounded self-adjoint operators in the Bergman space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-20T22:49:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "47L80",
      "47A13",
      "32A36"
    ],
    "keywords": [
      "spectral theorem approach",
      "quasi-elliptic related cases",
      "toeplitz operators",
      "unit ball",
      "bergman space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}