Global Version of Bjornestal's Estimate for Metric Projection Operator in Banach Space

Details Global Version of Bjornestal's Estimate for Metric Projection Operator in Banach Space Global Version of Bjornestal's Estimate for Metric Projection Operator in Banach Space

1993-12-07

arxiv.org/abs/funct-an/9312003v1

Mathematics

Functional Analysis

12 pages, LaTex file

Scientific paper

In 1979, B.Bjornestal obtained local estimate for a modulus of uniform
continuity of metric projection operator on closed subspace in 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 arbitrary closed
convex set in $B$.

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