{
  "id": "1802.04569",
  "version": "v1",
  "published": "2018-02-13T11:31:34.000Z",
  "updated": "2018-02-13T11:31:34.000Z",
  "title": "The Cesàro operator on duals of power series spaces of infinite type",
  "authors": [
    "Angela A. Albanese",
    "José Bonet",
    "Werner \\",
    "J. Ricker"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Ces\\`aro operator $C$ when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference in the nature of the spectrum of $C$ depending on whether or not the strong dual space (which is always Schwartz) is nuclear.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-13T11:31:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47B37",
      "46A04",
      "46A11",
      "46A13",
      "46A45",
      "47A35"
    ],
    "keywords": [
      "power series spaces",
      "infinite type",
      "cesàro operator",
      "strong dual space",
      "mean ergodic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}