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A Note on Metric Projections

✍ Scribed by F. Mazzone; H. Cuenya

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
147 KB
Volume
81
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this note we give an example of a strictly convex, reflexive, smooth Banach space which has a Chebyshev subspace (M), such that the projection onto (M) is linear and has norm equal to 2 . Moreover, we give necessary and sufficient conditions on a space so that every projection has norm less than a constant which is less than 2. Ci 1995 Academic Press. Inc.

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