Metric entropy of convex hulls in type 𝑝 spaces—The critical case
Jakob Creutzig, Ingo Steinwart · Proceedings of the American Mathematical Society · 2001
Given a precompact subset A A of a type p p Banach space E E , where p ∈ ( 1 , 2 ] p\in (1,2] , we prove that for every β ∈ [ 0 , 1 ) \beta \in [0,1) and all n ∈ N n \in \mathbb {N} sup k ≤ n k 1 / p ′ ( log k ) β − 1 e k ( a c o A ) ≤ c sup k ≤ n k 1 / p ′ ( log k