Abstract

We extend the Mazur-Orlicz theorem from the sublinear functional to the convex functional.

Author information

Contact details are reproduced from the original publication and may be historical.

Chuanfeng Sun

School of Mathematical Sciences, University of Jinan, Shandong 250022, P. R. China

sms_suncf@ujn.edu.cn

Keywords

  • Mazur-Orlicz theorem
  • convex functional

References

  1. S. Mazur, W. Orlicz: Sur les espaces métriques linéaires II, Stud. Math. 13 (1953) 137–179.https://doi.org/10.4064/sm-13-2-137-179Google Scholar
  2. S. Simons: From Hahn-Banach to Monotonicity, Springer, Berlin (2008).Google Scholar
  3. C. Zălinescu: Convex Analysis in General Vector Spaces, World Scientific, River Edge (2002).https://doi.org/10.1142/5021Google Scholar

Suggested citation

C. Sun. “The Mazur-Orlicz Theorem for Convex Functionals.” Journal of Convex Analysis 24 (2017), No. 3, 763–768. https://doi.org/10.68381/jca24046

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press LLC.