A Survey of Examples of Convex Functions and Classifications of Normed Spaces

  • Jonathan M. Borwein
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 429)


This paper represents a slightly extended version of the eponymous talk given at the VII Colloque Franco-Allemand d’Optimisation. My aim is to illustrate the tight connection between the sequential properties of a Banach space and the corresponding properties of the convex functions and sets which may or may not be defined on that space.


convex functions sequential properties differentiability nearest points classical Banach spaces Haar-null sets 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Jonathan M. Borwein
    • 1
  1. 1.Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

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