{
  "id": "2401.11493",
  "version": "v1",
  "published": "2024-01-21T13:48:28.000Z",
  "updated": "2024-01-21T13:48:28.000Z",
  "title": "Decomposition of the set of Banach limits into discrete and continuous subsets",
  "authors": [
    "Nikolai Avdeev",
    "Evgenii Semenov",
    "Alexandr Usachev",
    "Roman Zvolinskii"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this work is to describe subsets of Banach limits in terms of a certain functional characteristic. We compute radii and cardinalities for some of these subsets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-21T13:48:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach limits",
      "continuous subsets",
      "decomposition",
      "functional characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}