{
  "id": "2102.13259",
  "version": "v1",
  "published": "2021-02-26T01:53:46.000Z",
  "updated": "2021-02-26T01:53:46.000Z",
  "title": "The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix",
  "authors": [
    "Benjamín A. Itzá-Ortiz",
    "Rubén A. Martínez-Avendaño",
    "Hiroshi Nakasato"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we show that the closure of the numerical range of a $n+1$-periodic tridiagonal operator is equal to the numerical range of a $2(n+1)\\times 2(n+1)$ complex matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-26T01:53:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A12",
      "47B02",
      "47B93"
    ],
    "keywords": [
      "numerical range",
      "periodic tridiagonal operator reduces",
      "finite matrix",
      "complex matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}