Lipschitz slices and the Daugavet equation for Lipschitz operators
arXiv:1407.4018 · doi:10.1090/proc/12818
Abstract
We introduce a substitute for the concept of slice for the case of non-linear Lipschitz functionals and transfer to the non-linear case some results about the Daugavet and the alternative Daugavet equations previously known only for linear operators.