{
  "id": "0811.3182",
  "version": "v1",
  "published": "2008-11-19T19:44:02.000Z",
  "updated": "2008-11-19T19:44:02.000Z",
  "title": "On sequence spaces for Fréchet frames",
  "authors": [
    "Stevan Pilipović",
    "Diana T. Stoeva"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We analyze the construction of a sequence space $\\widetilde{\\Theta}$, resp. a sequence of sequence spaces, in order to have $\\{g_i\\}$ as a $\\widetilde{\\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\\'echet space $X_F=\\cap_{s\\in {\\mathbb N}_0} X_s$, where $\\{X_s\\}_{s\\in {\\mathbb N}_0}$ is a sequence of Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-19T19:44:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sequence space",
      "fréchet frames",
      "banach space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.3182P"
    }
  }
}