{
  "id": "0706.0915",
  "version": "v2",
  "published": "2007-06-06T21:06:29.000Z",
  "updated": "2007-11-14T23:28:52.000Z",
  "title": "On the fixed point property in direct sums of Banach spaces with strictly monotone norms",
  "authors": [
    "Stanisław Prus",
    "Andrzej Wiśnicki"
  ],
  "comment": "corrected and extended version, 13 pages",
  "journal": "Studia Mathematica 186 (2008), 87--99",
  "categories": [
    "math.FA"
  ],
  "abstract": "It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y satisfies property asymptotic (P) (which is weaker than the condition WCS(Y)>1), then the direct sum of X and Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-14T23:28:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H09",
      "46B20"
    ],
    "keywords": [
      "direct sum",
      "banach space",
      "weak fixed point property",
      "satisfies property asymptotic",
      "strictly monotone norm enjoys"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.0915P"
    }
  }
}