Some remarks on the Grothendieck property of spaces of Lipschitz functions
Session: Lipschitz-free spaces
Talk
Abstract
We discuss a number of conditions for a metric space $M$ which imply that the space of Lipschitz functions $\mathrm{Lip}_0(M)$ admits a continuous operator onto $\ell_1$. Using these results, we provide several conditions for a space M implying that $\mathrm{Lip}_0(M)$ is not a Grothendieck space.
This is joint work with Jerzy Kąkol and Damian Sobota.