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math.FA2021★ 1 cited
Quantification of Banach-Saks properties of higher orders
Zdeněk Silber
We investigate possible quantifications of Banach-Saks sets and weak Banach-Saks sets of higher orders and their relations to other quantities. We prove a quantitative version of t…
math.FA2021
Weak derived sets of convex sets in duals of non-reflexive spaces
Zdeněk Silber
We investigate weak derived sets, that is the sets of weak limits of bounded nets, of convex subsets of duals of non-reflexive Banach spaces and their possible iterations.…