{
  "id": "math/0512323",
  "version": "v1",
  "published": "2005-12-14T10:35:56.000Z",
  "updated": "2005-12-14T10:35:56.000Z",
  "title": "$\\pmb{D}$-boundedness and $\\pmb{D}$-compactness in finite dimensional probabilistic normed spaces",
  "authors": [
    "Reza Saadati",
    "Massoud Amini"
  ],
  "comment": "10 pages",
  "journal": "Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 483-492",
  "categories": [
    "math.FA",
    "math.GN"
  ],
  "abstract": "In this paper, we prove that in a finite dimensional probabilistic normed space, every two probabilistic norms are equivalent and we study the notion of $D$-compactness and $D$-boundedness in probabilistic normed spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-14T10:35:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46S50",
      "54E70"
    ],
    "keywords": [
      "finite dimensional probabilistic normed space",
      "compactness",
      "boundedness",
      "probabilistic norms",
      "equivalent"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12323S"
    }
  }
}