{
  "id": "1711.07340",
  "version": "v1",
  "published": "2017-11-15T08:06:39.000Z",
  "updated": "2017-11-15T08:06:39.000Z",
  "title": "Hypo-q-Norms on a Cartesian Product of Normed Linear Spaces",
  "authors": [
    "Silvestru Sever Dragomir"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we introduce the hypo-q-norms on a Cartesian product of normed linear spaces. A representation of these norms in terms of bounded linear functionals of norm less than one, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the scalar Shisha-Mond, Birnacki et al. and other Gruss type inequalities are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-15T08:06:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B05"
    ],
    "keywords": [
      "normed linear spaces",
      "cartesian product",
      "hypo-q-norms",
      "gruss type inequalities",
      "scalar shisha-mond"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}