{
  "id": "1305.1438",
  "version": "v1",
  "published": "2013-05-07T08:44:46.000Z",
  "updated": "2013-05-07T08:44:46.000Z",
  "title": "Simultaneous projectional skeletons",
  "authors": [
    "Marek Cuth"
  ],
  "journal": "J. Math. Anal. Appl. 411 (2014), 19-29",
  "doi": "10.1016/j.jmaa.2013.09.020",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove the existence of a simultaneous projectional skeleton for certain subspaces of $\\mathcal{C}(K)$ spaces. This generalizes a result on simultaneous projectional resolutions of identity proved by M. Valdivia. We collect some consequences of this result. In particular we give a new characterization of Asplund spaces using the notion of projectional skeleton.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-07T08:44:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B26",
      "54D30"
    ],
    "keywords": [
      "simultaneous projectional skeleton",
      "simultaneous projectional resolutions",
      "asplund spaces",
      "generalizes",
      "consequences"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.1438C"
    }
  }
}