{
  "id": "2405.05509",
  "version": "v2",
  "published": "2024-05-09T02:38:17.000Z",
  "updated": "2024-10-14T14:29:01.000Z",
  "title": "Inequalities between s-numbers",
  "authors": [
    "Mario Ullrich"
  ],
  "comment": "6 pages",
  "journal": "Advances in Operator Theory 9:82 (2024)",
  "doi": "10.1007/s43036-024-00386-x",
  "categories": [
    "math.FA",
    "math.OA"
  ],
  "abstract": "Singular numbers of operators between Hilbert spaces were generalized to Banach spaces by s-numbers (in the sense of Pietsch). This allows for different choices, including approximation, Gelfand, Kolmogorov and Bernstein numbers. Here, we present an elementary proof of a bound between the smallest and the largest s-number.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-10-14T14:29:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B06",
      "46B50",
      "47B01"
    ],
    "keywords": [
      "inequalities",
      "singular numbers",
      "hilbert spaces",
      "banach spaces",
      "bernstein numbers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}