On the geometry of Banach spaces of the form ${\mathrm{Lip}}_0(C(K))$

Abstract

We investigate the problem of classifying the Banach spaces ${\mathrm{Lip}}_0(C(K))$ for Hausdorff compacta $K$. In particular, sufficient conditions are established for a space ${\mathrm{Lip}}_0(C(K))$ to be isomorphic to ${\mathrm{Lip}}_0(c_0(\Gamma ))$ for some uncountable set $\Gamma$.

Cited by in corpus (3)

• Projecting Lipschitz functions onto spaces of polynomials
• Lipschitz spaces over non-porous sets
• On the weak${}^{\ast }$ separability of the space of Lipschitz functions