{
  "id": "math/9405211",
  "version": "v1",
  "published": "1994-05-24T16:23:15.000Z",
  "updated": "1994-05-24T16:23:15.000Z",
  "title": "Some properties of space of compact operators",
  "authors": [
    "Narcisse Randrianantoanina"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $X$ be a separable Banach space, $Y$ be a Banach space and $\\Lambda$ be a subset of the dual group of a given compact metrizable abelian group. We prove that if $X^*$ and $Y$ have the type I-$\\Lambda$-RNP (resp. type II-$\\Lambda$-RNP) then $K(X,Y)$ has the type I-$\\Lambda$-RNP (resp. type II-$\\Lambda$-RNP) provided $L(X,Y)=K(X,Y)$. Some corollaries are then presented as well as results conserning the separability assumption on $X$. Similar results for the NearRNP and the WeakRNP are also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-05-24T16:23:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact operators",
      "properties",
      "compact metrizable abelian group",
      "dual group",
      "separable banach space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1994math......5211R"
    }
  }
}