Convex closures, weak topologies and feeble approach spaces
Faculty of Sciences. Mathematics and Computer Science
Journal of convex analysis
, p. 581-600
University of Antwerp
In this paper we develop a setting within the realm of approach theory to be able to deal with the non-topological notion of closed convex closure in an isometric way. We work out the necessary machinery and show how closed convex and weak* closed convex closure and the weak and weak* topologies in normed spaces fit into the framework.