{"paper":{"title":"The Daugavet property for spaces of Lipschitz functions","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Dirk Werner, Vladimir Kadets, Yevgen Ivakhno","submitted_at":"2005-09-16T12:01:26Z","abstract_excerpt":"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 $L_p$-space, $1<p<\\infty$, this is equivalent to the convexity of $K$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509373","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}