Josefson-Nissenzweig property for $C_p$-spaces

T. Banakh, J. Kąkol, W. Śliwa

The famous Rosenthal-Lacey theorem asserts that for each infinite compact space $K$ the Banach space $C(K)$ admits a quotient which is either a copy of $c_0$ or ${\ell }_2$. The a…