Thomas Kuhn

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seen Jan 7 '12 at 8:54

Nov
27
awarded  Scholar
Nov
27
accepted Projection exists => Uniformly convex?
Nov
27
awarded  Editor
Nov
27
revised Projection exists => Uniformly convex?
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Nov
27
comment Projection exists => Uniformly convex?
@Hsueh-Yung Lin: interesting paper. M. Day provides a example for a reflexive strictly convex space, which is not isomorphic to a uniformly convex space. So we get the unique best approximation, because every bounded sequence admits a weakly-convergent subsequence, so I have to modify my question. Is it true, that, if every closed convex set admits a best approximation, then every bounded sequence admits a weakly-convergent subsequence.
Nov
27
awarded  Student
Nov
27
asked Projection exists => Uniformly convex?