{
  "id": "0904.2965",
  "version": "v2",
  "published": "2009-04-20T08:15:29.000Z",
  "updated": "2009-06-16T04:14:54.000Z",
  "title": "On lower and upper bounds of matrices",
  "authors": [
    "Peng Gao"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Using an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds for non-negative matrices acting on non-increasing non-negative sequences in $l^p$ when $p \\geq 1$ and its dual version, the upper bounds when $0<p \\leq 1$. We also determine such bounds explicitly for some families of matrices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-16T04:14:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A30"
    ],
    "keywords": [
      "upper bounds",
      "dual version",
      "lower bounds",
      "bennetts result",
      "alternate proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2965G"
    }
  }
}