{
  "id": "1111.6965",
  "version": "v1",
  "published": "2011-11-29T20:37:21.000Z",
  "updated": "2011-11-29T20:37:21.000Z",
  "title": "On the fixed points of nonexpansive mappings in direct sums of Banach spaces",
  "authors": [
    "Andrzej Wiśnicki"
  ],
  "comment": "9 pages. To appear, Studia Mathematica",
  "journal": "Studia Mathematica 207 (2011), 75-84",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum of X and Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-29T20:37:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "direct sum",
      "banach space",
      "nonexpansive mappings",
      "weak fixed point property",
      "generalized gossez-lami dozo property"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6965W"
    }
  }
}