{
  "id": "1804.08941",
  "version": "v1",
  "published": "2018-04-24T10:12:35.000Z",
  "updated": "2018-04-24T10:12:35.000Z",
  "title": "A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum",
  "authors": [
    "G. J. Groenewald",
    "S. ter Horst",
    "J. Jaftha",
    "A. C. M. Ran"
  ],
  "comment": "20 pages, accepted for a Operator Theory: Advances and Applications volume",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper is a continuation of our study of a class of Toeplitz-like operators with a rational symbol which has a pole on the unit circle. A description of the spectrum and its various parts, i.e., point, residual and continuous spectrum, is given, as well as a description of the essential spectrum. In this case, the essential spectrum need not be connected in ${\\mathbb C}$. Various examples illustrate the results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-24T10:12:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "47A53",
      "47A68"
    ],
    "keywords": [
      "unit circle",
      "rational symbol",
      "toeplitz-like operator",
      "essential spectrum",
      "description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}