Hichem Ben-El-Mechaiekh

On the Closedness of the Convex Hull in a Locally Convex Space

Hichem Ben-El-Mechaiekh · Journal of Advances in Mathematics and Computer Science · 2014

The question of the closedness of the convex hull of the union of a closed convex set and a compact convex set in a locally convex space does not appear to be widely known. We show here that the answer is affirmative if and only if the closed convex set is bounded. The result is...