Nouvelle approche du théorème de ABB

This Note presents a density result of the ABB theorem type for a strong topology of a Banach space equipped with the preorder associated to a convex well-based cone. The hypothesis of compactness is relaxed. Here the technique used is based on properties of the Bishop–Phelps cone, and does not require any property of the Hening dilating cone. To cite this article: A. Bourass, L. Lafhim, C. R. Acad. Sci. Paris, Ser. I 347 (2009).