{
  "id": "math/0007058",
  "version": "v1",
  "published": "2000-07-10T18:18:44.000Z",
  "updated": "2000-07-10T18:18:44.000Z",
  "title": "Embeddings of rearrangement invariant spaces that are not strictly singular",
  "authors": [
    "S. J. Montgomery-Smith",
    "E. M. Semenov"
  ],
  "comment": "Also available at http://www.math.missouri.edu/~stephen/preprints",
  "journal": "Positivity, 4, (2000), 397-404.",
  "categories": [
    "math.FA",
    "math.PR"
  ],
  "abstract": "We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L_1([0,1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in the Orlicz space L_Phi with Phi(x) = exp(x^2)-1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-10T18:18:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E30",
      "47B38",
      "60G50"
    ],
    "keywords": [
      "rearrangement invariant space",
      "strictly singular",
      "partial answers",
      "simple functions",
      "orlicz space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7058M"
    }
  }
}