Geodesic
A generalization of the Hahn-Banach theorem
Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 47-51.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

If C is a non-empty convex subset of a real linear space E, p: E → ℝ is a sublinear function and f:C → ℝ is concave and such that f ≤ p on C, then there exists a linear function g:E → ℝ such that g ≤ p on E and f ≤ g on C. In this result of Hirano, Komiya and Takahashi we replace the sublinearity of p by convexity.
DOI : 10.4064/ap-58-1-47-51
Keywords: the Hahn-Banach theorem, convex functions

Jolanta Plewnia 1

1 
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Jolanta Plewnia. A generalization of the Hahn-Banach theorem. Annales Polonici Mathematici, Tome 58 (1993) no. 1, pp. 47-51. doi : 10.4064/ap-58-1-47-51. http://geodesic.mathdoc.fr/articles/10.4064/ap-58-1-47-51/

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