{"paper":{"title":"Simple constructions of $\\mathrm{FBL}(A)$ and $\\mathrm{FBL}[E]$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"V.G. Troitsky","submitted_at":"2019-01-22T19:00:43Z","abstract_excerpt":"We show that the free Banach lattice $\\mathrm{FBL}(A)$ may be constructed as the completion of $\\mathrm{FVL}(A)$ with respect to the maximal lattice seminorm $\\nu$ on $\\mathrm{FVL}(A)$ with $\\nu(a)\\le 1$ for all $a\\in A$. We present a similar construction for the free Banach lattice $\\mathrm{FBL}[E]$ generated by a Banach space $E$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07581","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"}