Skip to main content
SpringerLink
Log in

A geometric proof of Asplund’s differentiability theorem

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

A geometric consequence inB of local uniform rotundity inB * is used to prove Asplund’s theorem on Fréchet differentiability of convex functionals.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E. Asplund,Fréchet differentiability of convex functions, Acta Math.121 (1968), 31–47.

    Article  MATH  MathSciNet  Google Scholar 

  2. M. M. Day,Normed linear spaces, Ergeb. der Math. N. F., Heft 21, 2nd printing, Berlin-Göttingen-Heidelberg, 1962.

  3. S. L. Troyanski,On locally uniformly convex and differentiable norms in certain nonseparable Banach spaces, Studia Math.37 (1970–71), 173–180.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Illinois, Urbana, Illinois

    Mahlon M. Day

Authors
  1. Mahlon M. Day
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Day, M.M. A geometric proof of Asplund’s differentiability theorem. Israel J. Math. 13, 277–280 (1972). https://doi.org/10.1007/BF02762801

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02762801

Keywords

Search

Navigation