
Journal of Convex Analysis 25 (2018), No. 2, 691699 Copyright Heldermann Verlag 2018 Bootstrapping the MazurOrliczKönig Theorem and the HahnBanach Lagrange Theorem Stephen Simons Dept. of Mathematics, University of California, Santa Barbara, CA 931063080, U.S.A. stesim38@gmail.com We give some extensions of König's extension of the MazurOrlicz 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 "HahnBanachLagrange" theorem. Keywords: Sublinear functional, convex function, affine function, HahnBanach theorem, MazurOrliczKoenig theorem. MSC: 46A22, 46N10 [ Fulltextpdf (91 KB)] for subscribers only. 