{
  "id": "2203.16961",
  "version": "v1",
  "published": "2022-03-31T11:31:33.000Z",
  "updated": "2022-03-31T11:31:33.000Z",
  "title": "Sub-additivity of measure-theoretic entropies of commuting transformations on Banach space",
  "authors": [
    "ChiYi Luo",
    "Yun Zhao"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider two commuting smooth transformations on Banach spaces, prove the sub-additivity of measure-theoretic entropies and give the condition for equality. This is an extension of Hu's work on commuting diffeomorphisms in a finite-dimensional space (HuHu Yi 1993 Ergod. Th. Dynam. Sys. 13 73-100) to the case of systems on a Banach space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-31T11:31:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach space",
      "measure-theoretic entropies",
      "commuting transformations",
      "sub-additivity",
      "commuting smooth transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}