Convex Closures, Weak Topologies and Feeble Approach Spaces

Lowen R., Sagiroglu S.

JOURNAL OF CONVEX ANALYSIS, vol.21, no.2, pp.581-600, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 2
  • Publication Date: 2014
  • Journal Name: JOURNAL OF CONVEX ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.581-600
  • Ankara University Affiliated: Yes

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.