Antiproximinal convex bounded sets in the space c0(Γ) equipped with the day norm
Author: Balaganskii, V.
Source: Mathematical Notes, Volume 79, Number 3, March 2006 , pp. 299-313(15)
Abstract:We construct a convex smooth antiproximinal set in any infinite-dimensional space c 0(Γ) equipped with the Day norm; moreover, the distance function to the set is Gâteaux differentiable at each point of the complement.
Document Type: Research article
Publication date: 2006-03-01