A weak*-topological dichotomy with applications in operator theory

Tomasz Kania, Piotr Koszmider, Niels Jakob Laustsen

Denote by $[0,{\omega }_1)$ the locally compact Hausdorff space consisting of all countable ordinals, equipped with the order topology, and let $C_0[0,{\omega }_1)$ be the Banach space of scalar-v…