Title
Convex closures, weak topologies and feeble approach spacesConvex closures, weak topologies and feeble approach spaces
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Research group
Fundamental Mathematics
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Journal of convex analysis
Volume/pages
21(2014):2, p. 581-600
ISSN
0944-6532
ISI
000338386400015
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
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.
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