an:05590414
Zbl 1167.49020
Bourass, Abdelhamid; Lafhim, Lahoussine
New concept of the ABB theorem
FR
C. R., Math., Acad. Sci. Paris 347, No. 15-16, 853-856 (2009).
00252121
2009
j
49J99 46N10 90C48
convexity; ABB theorem; Bishop-Phelps cone
Summary: This note presents a density result of the Arrow-Barankin-Blackwell (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.