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A note on projections of continuous additive functionals

✍ Scribed by R. J. Griego

Publisher: Springer Japan
Year: 1968
Tongue: English
Weight: 166 KB
Volume: 20
Category: Article
ISSN: 0020-3157
DOI: 10.1007/bf02911645

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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 t