A Bound for the Modulus of Continuity for Metric Projections in a Uniformly Convex and Uniformly Smooth Banach Space |
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| Authors: | Ya.I. Alber |
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| Affiliation: | Department of Mathematics, Technion–Israel Institute of Technology, Haifa, 32000, Israel |
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| Abstract: | 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 spaceB. In the present paper we give the global version of this result for the projection operator on an arbitrary closed convex set inB. |
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