A weak∗‐topological dichotomy with applications in operator theory
A weak∗‐topological dichotomy with applications in operator theory
Denote by the locally compact Hausdorff space consisting of all countable ordinals, equipped with the order topology, and let be the Banach space of scalar‐valued, continuous functions which are defined on and vanish eventually. We show that a weak‐compact subset of the dual space of is either uniformly Eberlein compact, …