Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

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

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Suggested citation

R. Lowen, S. Sagiroglu. “Convex Closures, Weak Topologies and Feeble Approach Spaces.” Journal of Convex Analysis 21 (2014), No. 2, 581–600. https://doi.org/10.68381/jca21031

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Published by Heldermann Verlag, 2014. Rights now held by Banach Press.