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math.FA2023
-rotund norms for generalized Baernstein spaces and their duals
S. J. Dilworth, Denka Kutzarova
We consider a generalized Baernstein space associated to a compact family of finite subsets of an uncountable set. We show that for certain transfinitely defined families such spac…
math.FA2023
Cycle spaces: invariant projections and applications to transportation cost
Stephen J. Dilworth, Denka Kutzarova, Mikhail I. Ostrovskii
The paper starts with discussion of applications of cycle spaces to transportation cost. After a short survey of the known results on cycle spaces, we turn to the study of minimal…