{
  "id": "math/9610212",
  "version": "v1",
  "published": "1996-10-07T00:00:00.000Z",
  "updated": "1996-10-07T00:00:00.000Z",
  "title": "Compact subsets of $\\Ps(\\N)$ with applications to the embedding of symmetric sequence spaces into $C(α)$",
  "authors": [
    "Denny H. Leung"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $\\Ps(\\N)$ be the set of all finite subsets of $\\N$, endowed with the product topology. A description of the compact subsets of $\\Ps(\\N)$ is given. Two applications of this result to Banach space theory are shown : (1) a characterization of the symmetric sequence spaces which embed into $C(\\om^\\om)$, and (2) a characterization, in terms of the Orlicz function $M$, of the Orlicz sequence spaces $h_M$ which embed into $C(K)$ for some countable compact Hausdorff space $K$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-10-07T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E10",
      "46B03",
      "54G12"
    ],
    "keywords": [
      "symmetric sequence spaces",
      "compact subsets",
      "applications",
      "orlicz sequence spaces",
      "banach space theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math.....10212L"
    }
  }
}