Journal of Convex Analysis 21 (2014), No. 2, 581--600
Copyright Heldermann Verlag 2014
Convex Closures, Weak Topologies and Feeble Approach Spaces
Robert Lowen
University of Antwerp, Dept. of Mathematics and Computer Science, Middelheimlaan 1, 2020 Antwerp, Belgium
bob.lowen@ua.ac.be
Sevda Sagiroglu
Dept. of Mathematics, University of Ankara, Ankara, Turkey
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.
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