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The weak sequential continuity of the metric projection in Lp spaces over separable nonatomic measure spaces

✍ Scribed by Joseph M Lambert

Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 578 KB
Volume: 11
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(74)90007-0

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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