{
  "id": "2006.15415",
  "version": "v1",
  "published": "2020-06-27T17:53:45.000Z",
  "updated": "2020-06-27T17:53:45.000Z",
  "title": "The number of closed ideals of $\\cL(\\ell_p\\oplus \\ell_q)$",
  "authors": [
    "Daniel Freeman",
    "Thomas Schlumprecht",
    "Andras Zsak"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that for $1< p<q<\\infty$, the algebra $\\cL(\\ell_p\\oplus\\ell_q)$ of all bounded linear operators on $\\ell_p\\oplus\\ell_q$ has $2^{2^\\omega}$ many closed ideals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-27T17:53:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47L20",
      "47B10",
      "47B37"
    ],
    "keywords": [
      "closed ideals",
      "bounded linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}