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Journal of Convex Analysis 25 (2018), No. 2, 691--699
Copyright Heldermann Verlag 2018

Bootstrapping the Mazur-Orlicz-König Theorem and the Hahn-Banach Lagrange Theorem

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

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.

Keywords: Sublinear functional, convex function, affine function, Hahn-Banach theorem, Mazur-Orlicz-Koenig theorem.

MSC: 46A22, 46N10

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