Geodesic
Boundedness, Differentiability and Extensions of Convex Functions
Journal of convex analysis, Tome 13 (2006) no. 3, pp. 587-602

Voir la notice de l'article provenant de la source Heldermann Verlag

We survey various boundedness, differentiability and extendibility properties of convex functions, and how they are related to sequential convergence with respect to various topologies in the dual space. It is also shown that if X/Y is separable then every continuous convex function on Y can be extended to a continuous convex function on X.
Classification : 52A41, 46G05, 46N10, 49J50, 90C25
Mots-clés : Convex function, Schur property, Dunford-Pettis property, Grothendieck property, extensions 
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J. Borwein; V. Montesinos; J. D. Vanderwerff. Boundedness, Differentiability and Extensions of Convex Functions. Journal of convex analysis, Tome 13 (2006) no. 3, pp. 587-602. http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a6/