{
  "id": "1511.05214",
  "version": "v1",
  "published": "2015-11-16T23:13:36.000Z",
  "updated": "2015-11-16T23:13:36.000Z",
  "title": "Quantitative coarse embeddings of quasi-Banach spaces into a Hilbert space",
  "authors": [
    "Michal Kraus"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We study how well a quasi-Banach space can be coarsely embedded into a Hilbert space. Given any quasi-Banach space X which coarsely embeds into a Hilbert space, we compute its Hilbert space compression exponent. We also show that the Hilbert space compression exponent of X is equal to the supremum of the amounts of snowflakings of X which admit a bi-Lipschitz embedding into a Hilbert space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-16T23:13:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B20",
      "46A16",
      "51F99",
      "46B85"
    ],
    "keywords": [
      "quasi-banach space",
      "quantitative coarse embeddings",
      "hilbert space compression exponent",
      "coarsely embeds",
      "snowflakings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151105214K"
    }
  }
}