Grothendieck $C(K)$-spaces and the Josefson--Nissenzweig theorem

Jerzy Kąkol, Damian Sobota, Lyubomyr Zdomskyy

For a compact space $K$, the Banach space $C(K)$ is said to have the ${\ell }_1$-Grothendieck property if every weak* convergent sequence $⟨{\mu }_n:n\in \omega ⟩$ of f…