The Josefson--Nissenzweig theorem, Grothendieck property, and finitely supported measures on compact spaces

Jerzy Kąkol, Damian Sobota, Lyubomyr Zdomskyy

The celebrated Josefson-Nissenzweig theorem implies that for a Banach space $C(K)$ of continuous real-valued functions on an infinite compact space $K$ there exists a sequence of R…