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Nov
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accepted Projection exists => Uniformly convex?
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revised Projection exists => Uniformly convex?
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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.
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asked Projection exists => Uniformly convex?