{
  "id": "0903.4558",
  "version": "v1",
  "published": "2009-03-26T12:13:23.000Z",
  "updated": "2009-03-26T12:13:23.000Z",
  "title": "Some dynamical properties for linear operators",
  "authors": [
    "Bingzhe Hou",
    "Geng Tian",
    "Luoyi Shi"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "In our another recent article, we introduce a new dynamical property for linear operators called norm-unimodality which implies distributional chaos. In the present paper, we'll give a further discussion of norm-unimodality. It is showed that norm-unimodality is similar invariant and the spectra of norm-unimodal operator is referred to. As an application, in each nest algebra there exist distributional chaotic operators. Moreover, normal operators and compact operators with regard to norm-unimodality and Li-Yorke chaos are also be considered. Specially, a small compact perturbation of the unit operator could be distributionally chaotic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-26T12:13:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B37",
      "47B99",
      "54H20",
      "37B99"
    ],
    "keywords": [
      "linear operators",
      "dynamical property",
      "norm-unimodality",
      "implies distributional chaos",
      "distributional chaotic operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4558H"
    }
  }
}