The Daugavet property for spaces of Lipschitz functions

Yevgen Ivakhno, Vladimir Kadets, Dirk Werner

For a compact metric space $K$ the space $\Lip(K)$ has the Daugavet property if and only if the norm of every $f \in \Lip(K)$ is attained locally. If $K$ is a subset of an $L_p$-sp…