Densely connected ambiguous loci of the metric projection in Hilbert spaces

DOI10.1007/BF02109786zbMath0867.41019MaRDI QIDQ1925020

Francesco S. de Blasi

Publication date: 20 July 1997

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Hausdorff metricmetric projectionresidual setambiguous locusdensely connected

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

• The nearest point mapping is single valued nearly everywhere
• Some new results on smoothness and rotundity in normed linear spaces
• Eine Beschreibung der Nichteindeutigkeitsmenge für die beste Approximation in der Euklidischen Ebene. (A description of the nonuniqueness set for the best approximation in the Euclidean plane)
• Ambiguous loci of the nearest point mapping in Banach spaces
• On a Property of Metric Projections Onto Closed Subsets of Hilbert Spaces
• Compacta with Dense Ambiguous Loci of Metric Projections and Antiprojections
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Densely connected ambiguous loci of the metric projection in Hilbert spaces