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A characterization of reflexive spaces by means of continuous approximate selections for metric projections

✍ Scribed by N.V Zhivkov

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 743 KB
Volume: 56
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(89)90133-0

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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