Artículo de revista
On the klee-saint raymond's characterization of convexity
Fecha
2016Registro en:
SIAM J. Optim. Vol. 26, No. 2, pp. 1312–1321
10.1137/15M1037111
Autor
Correa Fontecilla, Rafael
Hantoute, Abderrahim
Pérez Aros, Pedro Antonio
Institución
Resumen
Using techniques of convex analysis, we provide a direct proof of a recent characterization of convexity given in the setting of Banach spaces in [J. Saint Raymond, J. Nonlinear Convex Anal., 14 (2013), pp. 253-262]. Our results also extend this characterization to locally convex spaces under weaker conditions.