Bootstrapping the Mazur-Orlicz-König Theorem and the Hahn-Banach Lagrange Theorem
Journal of convex analysis, Tome 25 (2018) no. 2, pp. 691-699
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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.
Classification : 46A22, 46N10
Mots-clés : Sublinear functional, convex function, affine function, Hahn-Banach theorem, Mazur-Orlicz-Koenig theorem
@article{JCA_2018_25_2_JCA_2018_25_2_a17,
     author = {S. Simons},
     title = {Bootstrapping the {Mazur-Orlicz-K\"onig} {Theorem} and the {Hahn-Banach} {Lagrange} {Theorem}},
     journal = {Journal of convex analysis},
     pages = {691--699},
     year = {2018},
     volume = {25},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a17/}
}
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S. Simons. Bootstrapping the Mazur-Orlicz-König Theorem and the Hahn-Banach Lagrange Theorem. Journal of convex analysis, Tome 25 (2018) no. 2, pp. 691-699. http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a17/