Israel Journal of Mathematics

, Volume 44, Issue 3, pp 262–276

Norms with locally Lipschitzian derivatives

  • M. Fabian
  • J. H. M. Whitfield
  • V. Zizler
Article

DOI: 10.1007/BF02760975

Cite this article as:
Fabian, M., Whitfield, J.H.M. & Zizler, V. Israel J. Math. (1983) 44: 262. doi:10.1007/BF02760975

Abstract

If a separable Banach spaceX admits a real valued function ф with bounded nonempty support, φ 艂 is locally Lipschitzian and if no subspace ofX is isomorphic toco, thenX admits an equivalent twice Gateaux differentiable norm whose first Frechet differential is Lipschitzian on the unit sphere ofX.

Copyright information

© Hebrew University 1983

Authors and Affiliations

  • M. Fabian
    • 1
    • 2
    • 3
  • J. H. M. Whitfield
    • 1
    • 2
    • 3
  • V. Zizler
    • 1
    • 2
    • 3
  1. 1.Prague 6Czechoslovakia
  2. 2.Department of Mathematical SciencesLakehead UniversityThunder BayCanada
  3. 3.Prague 4Czechoslovakia