{
  "id": "2106.14872",
  "version": "v1",
  "published": "2021-06-28T17:43:00.000Z",
  "updated": "2021-06-28T17:43:00.000Z",
  "title": "On a sufficient condition for linear chaos",
  "authors": [
    "Marat V. Markin"
  ],
  "comment": "There is a text overlap with arXiv:2106.09682 in the Preliminaries section containing introductory information, definitions, and general remarks",
  "categories": [
    "math.FA",
    "math.DS"
  ],
  "abstract": "Based on a well-known sufficient condition for hypercyclicity, we obtain a sufficient condition for the chaoticity of linear operators in Banach spaces and analyze certain implications of the latter for the powers, constant multiples, and spectral properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-28T17:43:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A16",
      "47B38",
      "47A10"
    ],
    "keywords": [
      "linear chaos",
      "well-known sufficient condition",
      "linear operators",
      "banach spaces",
      "constant multiples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}