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.

• 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