{"paper":{"title":"Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Eva Perneck\\'a, Tomasz Kochanek","submitted_at":"2017-03-23T00:23:12Z","abstract_excerpt":"Let $M$ be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space $\\mathcal{F}(M)$, the predual of the Banach space of Lipschitz functions on $M$, has the Pe{\\l}czy\\'nski's property ($V^\\ast$). As a consequence, the Lipschitz-free space $\\mathcal{F}(M)$ is weakly sequentially complete."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07896","kind":"arxiv","version":2},"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"}