{
  "id": "1901.01258",
  "version": "v1",
  "published": "2019-01-04T18:02:19.000Z",
  "updated": "2019-01-04T18:02:19.000Z",
  "title": "The Cesàro operator on duals of smooth sequence spaces of infinite type",
  "authors": [
    "Ersin Kızgut"
  ],
  "comment": "19 pages",
  "journal": "Mediterranean Journal of Mathematics (2019)",
  "categories": [
    "math.FA"
  ],
  "abstract": "The discrete Ces\\`aro operator $\\mathsf{C}$ is investigated in strong duals of smooth sequence spaces of infinite type. Of main interest is its spectrum, which turns out to be distinctly different in the cases when the space is nuclear and when it is not.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-04T18:02:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47B37",
      "46A45",
      "46A04"
    ],
    "keywords": [
      "smooth sequence spaces",
      "infinite type",
      "cesàro operator",
      "strong duals",
      "main interest"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}