{
  "id": "1108.0142",
  "version": "v1",
  "published": "2011-07-31T05:57:33.000Z",
  "updated": "2011-07-31T05:57:33.000Z",
  "title": "Linear preservers of majorization on $\\ell^p(I)$",
  "authors": [
    "Farid Bahrami",
    "Ali Bayati",
    "Mahmood Manjegani"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, using doubly stochastic operators, we have extended the notion of majorization to the space $\\ell^p(I)$, where $I$ is assumed to be an infinite set, and then, in the case $p\\in (1,+\\infty)$, characterize the structure of all bounded linear maps on this space which preserves majorization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-31T05:57:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A86",
      "47B60"
    ],
    "keywords": [
      "linear preservers",
      "bounded linear maps",
      "doubly stochastic operators",
      "infinite set",
      "preserves majorization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.0142B"
    }
  }
}