Convex Closures, Weak Topologies and Feeble Approach Spaces

Lowen R., Sağıroğlu Peker S.

JOURNAL OF CONVEX ANALYSIS, cilt.21, sa.2, ss.581-600, 2014 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2014
  • Dergi Adı: JOURNAL OF CONVEX ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.581-600
  • Ankara Üniversitesi Adresli: Evet

Özet

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.