{
  "id": "1209.4587",
  "version": "v1",
  "published": "2012-09-20T17:24:42.000Z",
  "updated": "2012-09-20T17:24:42.000Z",
  "title": "Characterisation of $L_p$-norms via Hölder's inequality",
  "authors": [
    "Tomasz Kochanek",
    "Michał Lewicki"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We characterise $L_p$-norms on the space of integrable step functions, defined on a probabilistic space, via H\\\"older's type inequality with an optimality condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-20T17:24:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "39B05",
      "46B04"
    ],
    "keywords": [
      "hölders inequality",
      "characterisation",
      "optimality condition",
      "probabilistic space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4587K"
    }
  }
}