{
  "id": "math/9303202",
  "version": "v1",
  "published": "1993-03-29T17:51:57.000Z",
  "updated": "1993-03-29T17:51:57.000Z",
  "title": "Topologies on the set of all subspaces of a banach space and related questions of banach space geometry",
  "authors": [
    "Mikhail I. Ostrovskii"
  ],
  "journal": "Quaestiones Math., 17 (1994), no. 3, 259-319",
  "categories": [
    "math.FA"
  ],
  "abstract": "For a Banach space $X$ we shall denote the set of all closed subspaces of $X$ by $G(X)$. In some kinds of problems it turned out to be useful to endow $G(X)$ with a topology. The main purpose of the present paper is to survey results on two the most common topologies on $G(X)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1993-03-29T17:51:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "banach space geometry",
      "related questions",
      "survey results",
      "main purpose",
      "common topologies"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1993math......3202O"
    }
  }
}