Strongly proximinal subspaces of finite codimension in C(K)

• Autorzy: S. Dutta , Darapaneni Narayana
• Języki publikacji: EN

Abstrakty

EN

We characterize strongly proximinal subspaces of finite codimension in C(K) spaces. We give two applications of our results. First, we show that the metric projection on a strongly proximinal subspace of finite codimension in C(K) is Hausdorff metric continuous. Second, strong proximinality is a transitive relation for finite-codimensional subspaces of C(K).

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 1
• Strony: 119-128

Daty

wydano

2007

Twórcy

autor

S. Dutta

• Department of Mathematics, Ben Gurion University, P.O.B. 653, Beer-Sheva 84105, Israel
• Stat Math Unit, Indian Statistical Institute, Kolkata, India

autor

Darapaneni Narayana

• Department of Mathematics, Indian Institute of Science, Bangalore 560012, India

Identyfikatory

DOI

10.4064/cm109-1-10