{
  "id": "2406.09565",
  "version": "v1",
  "published": "2024-06-13T20:14:03.000Z",
  "updated": "2024-06-13T20:14:03.000Z",
  "title": "Compactness in Lorentz sequence spaces",
  "authors": [
    "Paweł Sawicki"
  ],
  "comment": "12 pages, 0 figures",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we are going to discuss compactness in Lorentz sequence spaces. Firstly, it will be shown how to define such a space, check whether a sequence belongs to it and calculate its norm. Equipped with this knowledge, we will proceed to propose usable compactness criteria for Lorentz sequence spaces, employing the concept of seminorms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-13T20:14:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B50",
      "46E30"
    ],
    "keywords": [
      "lorentz sequence spaces",
      "usable compactness criteria",
      "sequence belongs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}