Geodesic
Some More Applications of the Hahn-Banach Theorem
Journal of convex analysis, Tome 21 (2014) no. 1, pp. 179-188

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

We give a new proof of the fact that equivalent norms on subspaces can be extended. This new proof is based on the Hahn-Banach Extension Theorem. We also give new characterizations for an equivalent norm on a dual space to be a dual norm. Finally, a new proof of a particular case of the Hahn-Banach Separation Theorem is provided without involving the Axiom of Choice.
Classification : 46B20
Mots-clés : Equivalent norm, dual norm, Hahn-Banach, Axiom of Choice 
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     title = {Some {More} {Applications} of the {Hahn-Banach} {Theorem}},
     journal = {Journal of convex analysis},
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     number = {1},
     year = {2014},
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F. J. García-Pacheco; D. Puglisi; G. van Zyl. Some More Applications of the Hahn-Banach Theorem. Journal of convex analysis, Tome 21 (2014) no. 1, pp. 179-188. http://geodesic.mathdoc.fr/item/JCA_2014_21_1_JCA_2014_21_1_a8/