The Daugavet property for spaces of Lipschitz functions
Functional Analysis
2011-03-17 v1
Abstract
For a compact metric space the space has the Daugavet property if and only if the norm of every is attained locally. If is a subset of an -space, , this is equivalent to the convexity of .
Cite
@article{arxiv.math/0509373,
title = {The Daugavet property for spaces of Lipschitz functions},
author = {Yevgen Ivakhno and Vladimir Kadets and Dirk Werner},
journal= {arXiv preprint arXiv:math/0509373},
year = {2011}
}