{
  "id": "math/0112273",
  "version": "v1",
  "published": "2001-12-25T05:36:02.000Z",
  "updated": "2001-12-25T05:36:02.000Z",
  "title": "The Banach space S is complementably minimal and subsequentially prime",
  "authors": [
    "George Androulakis",
    "Thomas Schlumprecht"
  ],
  "comment": "See also: http://www.math.sc.edu/~giorgis/research.html",
  "categories": [
    "math.FA"
  ],
  "abstract": "We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a subsequence which spans a space isomorphic to its square. By the Pe{\\l}czy\\'nski decomposition method it follows that every basic sequence in S which spans a space complemented in S has a subsequence which spans a space isomorphic to S (i.e. S is a subsequentially prime space).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-25T05:36:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B03",
      "46B20"
    ],
    "keywords": [
      "banach space",
      "complementably minimal",
      "space isomorphic",
      "unit vector basis",
      "second author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12273A"
    }
  }
}