Israel Journal of Mathematics

, Volume 54, Issue 3, pp 327–334

Renormages de Quelques(K)

  • Michel Talagrand
Article

Abstract

LetD([0, 1]) be the space of left continuous real valued functions on [0, 1] which have a right limit at each point. We show thatD([0, 1]) has no equivalent norm which is Gâteau differentiable. Hence the class of spaces which can be renormed by a Gâteau differentiable norm fails the three spaces property. We show that there is no norm on([0, Ω]) such that its dual is strictly convex. However, there is an equivalent Fréchet differentiable norm on this space.

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Copyright information

© Hebrew University 1986

Authors and Affiliations

  • Michel Talagrand
    • 1
  1. 1.Equipe d’Analyse - ERA 294Université Paris 6Paris Cedex 05France

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