Grothendieck $C(K)$-spacesand the Josefson–Nissenzweig theorem

Abstract

For a compact space $K$, the Banach space $C(K)$ is said to have the <em>$\ell _1$-Grothendieck property</em> if every weak$^*$ convergent sequence $\langle \mu _n\colon n\in \omega \rangle $ of functionals on $C(K)$ such that $\mu _n\in \ell _1(K)$ for e

Topics & Concepts