{
  "id": "2204.03902",
  "version": "v1",
  "published": "2022-04-08T08:04:23.000Z",
  "updated": "2022-04-08T08:04:23.000Z",
  "title": "Minimal subsystems of given mean dimension in Bernstein spaces",
  "authors": [
    "Jianjie Zhao"
  ],
  "comment": "14",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we study the shift on the space of uniformly bounded continuous functions band-limited in a given compact interval with the standard topology of tempered distributions. We give a constructive proof of the existence of minimal subsystems with any given mean dimension strictly less than twice its band-width. A version of real-valued function spaces is considered as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-08T08:04:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean dimension",
      "minimal subsystems",
      "bernstein spaces",
      "real-valued function spaces",
      "standard topology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}