{
  "id": "1711.06165",
  "version": "v1",
  "published": "2017-11-16T16:03:03.000Z",
  "updated": "2017-11-16T16:03:03.000Z",
  "title": "Quasidensity: a survey and some examples",
  "authors": [
    "Stephen Simons"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In three previous papers, we discussed quasidense multifunctions from a Banach space into its dual, or, equivalently, quasidense subsets of the product of a Banach space and its dual. In this paper, we survey (without proofs) some of the main results about quasidensity, and give some simple limiting examples in Hilbert spaces, reflexive Banach spaces, and nonreflexive Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-16T16:03:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H05",
      "47N10",
      "52A41",
      "46A20"
    ],
    "keywords": [
      "quasidensity",
      "nonreflexive banach spaces",
      "quasidense multifunctions",
      "quasidense subsets",
      "hilbert spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}