{
  "id": "1802.00118",
  "version": "v1",
  "published": "2018-02-01T01:32:58.000Z",
  "updated": "2018-02-01T01:32:58.000Z",
  "title": "Continuous frames and the Kadison-Singer problem",
  "authors": [
    "Marcin Bownik"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we survey a recent progress on continuous frames inspired by the solution of the Kadison-Singer problem by Marcus, Spielman, and Srivastava. We present an extension of Lyapunov's theorem for discrete frames due to Akemann and Weaver and a similar extension for continuous frames by the author. We also outline a solution of the discretization problem, which was originally posed by Ali, Antoine, and Gazeau, and recently solved by Freeman and Speegle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-01T01:32:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous frames",
      "kadison-singer problem",
      "discretization problem",
      "lyapunovs theorem",
      "discrete frames"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}