{
  "id": "math/9207208",
  "version": "v1",
  "published": "1992-07-21T18:55:45.000Z",
  "updated": "1992-07-21T18:55:45.000Z",
  "title": "On Uniform Homeomorphisms of the Unit Spheres of Certain Banach Lattices",
  "authors": [
    "Fouad Chaatit"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that if X is an infinite dimensional Banach lattice with a weak unit then there exists a probability space (Omega, Sigma,mu) so that the unit sphere S(L_1(Omega, Sigma, mu) is uniformly homeomorphic to the unit sphere S(X) if and only if X does not contain l_{infty}^n's uniformly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-07-21T18:55:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unit sphere",
      "uniform homeomorphisms",
      "infinite dimensional banach lattice",
      "weak unit",
      "probability space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math......7208C"
    }
  }
}