Continuous position and existence sets

DOI10.1007/BF01462888zbMath0635.46011OpenAlexW2151605493MaRDI QIDQ1097468

Marcel van de Vel

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164486

zbMATH Keywords

smooth normsuperreflexive Banach spacesnearest pointboundedly weakly compact sets in arbitrary Banach spacescontinuous positionexistence setslocally compact sets in locally convex spacesuniformly rotund normwhether a closed set in continuous position must be convexwhether every Chebyshev set must be convex

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Convex sets in topological linear spaces; Choquet theory (46A55)

Cites Work

• Unnamed Item
• Unnamed Item
• Convexity of Chebyshev sets
• Geometry of Banach spaces. Selected topics
• Some results on nearest points and support properties of convex sets in \(c_ 0\)
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES

This page was built for publication: Continuous position and existence sets