{
  "id": "1409.3058",
  "version": "v1",
  "published": "2014-09-10T13:17:43.000Z",
  "updated": "2014-09-10T13:17:43.000Z",
  "title": "A way from the isoperimetric inequality in the plane to a Hilbert space",
  "authors": [
    "Edward Tutaj"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We will formulate and prove a generalization of the isoperimetric inequality in the plane. Using this inequality we will construct an unitary space - and in consequence - an isomorphic copy of a separable infinite dimensional Hilbert space, which will appear also an RHKS.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-10T13:17:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E22",
      "52B60"
    ],
    "keywords": [
      "isoperimetric inequality",
      "separable infinite dimensional hilbert space",
      "unitary space",
      "isomorphic copy",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.3058T"
    }
  }
}