{
  "id": "1803.07454",
  "version": "v1",
  "published": "2018-03-19T17:18:18.000Z",
  "updated": "2018-03-19T17:18:18.000Z",
  "title": "Pervasive and weakly pervasive pre-Riesz spaces",
  "authors": [
    "Anke Kalauch",
    "Helena Malinowski"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1801.07191",
  "categories": [
    "math.FA"
  ],
  "abstract": "Pervasive pre-Riesz spaces are defined by means of vector lattice covers. To avoid the computation of a vector lattice cover, we give two distinct intrinsic characterizations of pervasive pre-Riesz spaces. We introduce weakly pervasive pre-Riesz spaces and observe that this property can be easily checked in examples. We relate weakly pervasive pre-Riesz spaces to pre-Riesz spaces with the Riesz decomposition property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-19T17:18:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46A40",
      "06F20"
    ],
    "keywords": [
      "vector lattice cover",
      "riesz decomposition property",
      "relate weakly pervasive pre-riesz spaces",
      "distinct intrinsic characterizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}