Metric projections of closed subspaces of c₀ onto subspaces of finite codimension

• Autorzy: V. Indumathi
• Języki publikacji: EN

Abstrakty

EN

Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.

Kategorie tematyczne

• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
• 46B20: Geometry and structure of normed linear spaces
• 41A50: Best approximation, Chebyshev systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 2
• Strony: 231-252

Daty

wydano

2004

Twórcy

autor

V. Indumathi

• Department of Mathematics, Pondicherry University, Kalapet, Pondicherry-605014, India

Identyfikatory

DOI

10.4064/cm99-2-8