{
  "id": "1512.08628",
  "version": "v1",
  "published": "2015-12-29T09:18:38.000Z",
  "updated": "2015-12-29T09:18:38.000Z",
  "title": "Weakly compactly generated Banach lattices",
  "authors": [
    "Antonio Avilés",
    "Antonio J. Guirao",
    "Sebastián Lajara",
    "José Rodríguez",
    "Pedro Tradacete"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice $X$, the existence of a weakly compact set $K \\subset X$ such that $X$ coincides with the band generated by $K$, implies that $X$ is WCG.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-29T09:18:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B42",
      "46B50"
    ],
    "keywords": [
      "weakly compactly generated banach lattices",
      "weakly compact set",
      "order continuous banach lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}