Abstract
LetT be a precompact subset of a Hilbert space. The metric entropy of the convex hull ofT is estimated in terms of the metric entropy ofT, when the latter is of order εℒ2. The estimate is best possible. Thus, it answers a question left open in [CKP].
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Gao, F. Metric entropy of convex hulls. Isr. J. Math. 123, 359–364 (2001). https://doi.org/10.1007/BF02784136
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DOI: https://doi.org/10.1007/BF02784136