On the power of adaption and randomization 2: Non-symmetric convex sets

David Krieg, Erich Novak, Mario Ullrich

Let $S:X\to Y$ be a bounded linear operator between real Banach spaces, and let $F\subset X$ be nonempty, bounded and convex. We prove $$a_{2n-1}(S,F)\le 27n\min \{ e^{\rm ran}_n (…