{
  "id": "0706.1098",
  "version": "v1",
  "published": "2007-06-07T23:05:46.000Z",
  "updated": "2007-06-07T23:05:46.000Z",
  "title": "Characterization of the matrix whose norm is determined by its action on decreasing sequences",
  "authors": [
    "Chang-Pao Chen",
    "Hao-Wei Huang",
    "Chun-Yen Shen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $A=(a_{j,k})_{j,k \\ge 1}$ be a non-negative matrix. In this paper, we characterize those $A$ for which $\\|A\\|_{E, F}$ are determined by their actions on decreasing sequences, where $E$ and $F$ are suitable normed Riesz spaces of sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-07T23:05:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A60",
      "40G05",
      "47A30",
      "47B37"
    ],
    "keywords": [
      "decreasing sequences",
      "characterization",
      "suitable normed riesz spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.1098C"
    }
  }
}