Optimal upper bound estimates for metric entropy of lq -hulls, 0 < q ≤ 1, are obtained for precompact sets in Banach spaces of type-p.
Bibliographical noteFunding Information:
Received by the editors November 2, 2015 and, in revised form, December 19, 2016. 2010 Mathematics Subject Classification. Primary 47B06, 52A27, 41A46. The research of the second author was partially supported by a grant from the Simons Foundation, #246211. The research of the third author was partially supported by the National Natural Science Foundation of China, #61572109.
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