{
  "id": "1310.5083",
  "version": "v1",
  "published": "2013-10-18T16:35:45.000Z",
  "updated": "2013-10-18T16:35:45.000Z",
  "title": "Mean ergodic properties of the continuous Cesàro operators",
  "authors": [
    "Angela A. Albanese",
    "José Bonet",
    "Werner J. Ricker"
  ],
  "comment": "19 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Various properties of the (continuous) Ces\\`aro operator $\\mathsf{C}$, acting on Banach and Fr\\'echet spaces of continuous functions and $L^p$-spaces, are investigated. For instance, the spectrum and point spectrum of $\\mathsf{C}$ are completely determined and a study of certain dynamics of $\\mathsf{C}$ is undertaken (eg. hyper- and supercyclicity, chaotic behaviour). In addition, the mean (and uniform mean) ergodic nature of $\\mathsf{C}$ acting in the various spaces is identified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-18T16:35:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47A16",
      "47A35",
      "46A04",
      "47B34",
      "47B38"
    ],
    "keywords": [
      "mean ergodic properties",
      "continuous cesàro operators",
      "frechet spaces",
      "point spectrum",
      "chaotic behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.5083A"
    }
  }
}