Abstract

We give some extensions of König's extension of the Mazur-Orlicz theorem. These extensions include generalizations of a surprising recent result of Sun Chuanfeng, and generalizations to the product of more than two spaces of the "Hahn-Banach-Lagrange" theorem.

Author information

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

Stephen Simons

Dept. of Mathematics, University of California, Santa Barbara, CA 93106-3080, U.S.A.

stesim38@gmail.com

Keywords

  • Sublinear functional
  • convex function
  • affine function
  • Hahn-Banach theorem
  • Mazur-Orlicz-Koenig theorem

Mathematics Subject Classification

46A22, 46N10

Suggested citation

S. Simons. “Bootstrapping the Mazur-Orlicz-König Theorem and the Hahn-Banach Lagrange Theorem.” Journal of Convex Analysis 25 (2018), No. 2, 691–699.

Copyright Banach Press 2018