{
  "id": "1002.3902",
  "version": "v1",
  "published": "2010-02-20T15:22:24.000Z",
  "updated": "2010-02-20T15:22:24.000Z",
  "title": "Approximation of operators in Banach spaces",
  "authors": [
    "Oleg I. Reinov"
  ],
  "comment": "10 pages, AMSTeX; just a translation of an old paper of mine with nonessential changes and remarks. Two aims: the paper is difficult to get even in Russian, and it is to apply its main results in a next preprint to answer an open question posed in a paper of 2008",
  "journal": "In the collection \"Primenenie funkcional'nogo analiza v teorii priblizheni\", Kalinin: KGU, 1985, 128-142 (in Russian)",
  "categories": [
    "math.FA"
  ],
  "abstract": "It is a translation of an old paper of mine. We describe the topology tau_p in the space Pi_p(Y,X), for which the closures of convex sets in tau_p and in *-weak topology of the space Pi_p(Y,X) are coincident. Thereafter, we investigate some properties of the space Pi_p, related to this new topology. 2010-remark: Occasionally, the topology is coincides with the lambda_p-topology from the paper \"Compact operators which factor through subspaces of l_p\", Math. Nachr. 281(2008), 412-423 by Deba Prasad Sinha and Anil Kumar Karn.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-20T15:22:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B28"
    ],
    "keywords": [
      "banach spaces",
      "approximation",
      "deba prasad sinha",
      "anil kumar karn",
      "convex sets"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 10,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.3902R"
    }
  }
}