Norm Closure of the Barrier Cone in Normed Linear Spaces

Samir Adly (1) , Emil Ernst (2) , Michel Théra (1)

1 LACO - Laboratoire d'Arithmétique, de Calcul formel et d'Optimisation
2 LMMT - Laboratoire de Modélisation Mécanique et Thermodynamique, EA 2596

The aim of this note is to characterize the norm-closure of the barrier cone of a closed convex set in an arbitrary normed linear space by means of a new geometric object, the temperate

Domaines: Mathématiques [math]

Samir Adly, Emil Ernst, Michel Théra. Norm Closure of the Barrier Cone in Normed Linear Spaces. Proceedings of the American Mathematical Society, 2004, 132, pp.2911-2915. ⟨10.1090/S0002-9939-04-07492-1⟩. ⟨hal-00068253⟩