On Banach spaces C(K) isomorphic to c₀(Γ)

Abstract

We give a characterization of compact spaces $K$ such that the Banach space $C(K)$ is isomorphic to the space $c_0({\mit\Gamma })$ for some set ${\mit\Gamma }$. As an application we show that there exists an Eberlein compact space $K$ of weight $\omega _\