The spaces for compact metric spaces K and X with a uniformly convex maximal factor

A Bound for the Modulus of Continuity fo

A Bound for the Modulus of Continuity for Metric Projections in a Uniformly Convex and Uniformly Smooth Banach Space

✍ Ya.I. Alber 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 318 KB

In 1979, Bjornestal obtained a local estimate for a modulus of uniform continuity of the metric projection operator on a closed subspace in a uniformly convex and uniformly smooth Banach space B. In the present paper we give the global version of this result for the projection operator on an arbitra