{
  "id": "1306.4843",
  "version": "v2",
  "published": "2013-06-20T12:09:05.000Z",
  "updated": "2015-02-21T13:57:37.000Z",
  "title": "Metric and topological freedom for operator sequence spaces",
  "authors": [
    "N. T. Nemesh",
    "S. M. Shteiner"
  ],
  "comment": "45 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we give description of free and cofree objects in the category of operator sequence spaces. First we show that this category possess the same duality theory as category of normed spaces, then with the aid of these results we give complete description of metrically and topologically free and cofree objects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-20T12:09:05.000Z",
      "title": "Duality theory for operators on sequential operator spaces",
      "abstract": "In 2002 Anselm Lambert in his dissertation developed a theory of sequential operator spaces which are in some sense between classical normed spaces and recently studied operator spaces. We show that duality between quotient maps and inclusion maps for sequential operator spaces holds. Estimates for coercivity constatnt are given for duality between topologically surjective and topologically injective operators. Finally we describe product and coproduct in the category of sequential operator spaces.",
      "comment": "18 pages",
      "journal": null,
      "doi": null,
      "authors": [
        "N. T. Nemesh"
      ]
    },
    {
      "version": "v2",
      "updated": "2015-02-21T13:57:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47L25",
      "46L07",
      "46A20"
    ],
    "keywords": [
      "duality theory",
      "sequential operator spaces holds",
      "quotient maps",
      "coercivity constatnt",
      "inclusion maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.4843N"
    }
  }
}