{
  "id": "1006.1540",
  "version": "v1",
  "published": "2010-06-08T12:39:36.000Z",
  "updated": "2010-06-08T12:39:36.000Z",
  "title": "On the representation of multi-ideals by tensor norms",
  "authors": [
    "Geraldo Botelho",
    "Erhan Caliskan",
    "Daniel Pellegrino"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "A tensor norm $\\beta= (\\beta_{n})_{n=1}^{\\infty}$ is smooth if the natural correspondence $(E_{1} \\otimes\\cdots\\otimes E_{n} \\otimes\\mathbb{K},\\beta_{n+1}) \\longleftrightarrow (E_{1} \\otimes\\cdots\\otimes E_{n} ,\\beta_{n})$ is always an isometric isomorphism. In this paper we study the representation of multi-ideals and of ideals of multilinear forms by smooth tensor norms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-08T12:39:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representation",
      "multi-ideals",
      "smooth tensor norms",
      "isometric isomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.1540B"
    }
  }
}