{"paper":{"title":"The Bishop-Phelps-Bollob\\'as property for numerical radius in $\\ell_1(\\mathbb{C})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonio J. Guirao, Olena Kozhushkina","submitted_at":"2013-01-19T17:00:14Z","abstract_excerpt":"We show that the set of bounded linear operators from $X$ to $X$ admits a Bishop-Phelps-Bollob\\'as type theorem for numerical radius whenever $X$ is $\\ell_1(\\mathbb{C})$ or $c_0(\\mathbb{C})$. As an essential tool we provide two constructive versions of the classical Bishop-Phelps-Bollob\\'as theorem for $\\ell_1(\\mathbb{C})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4574","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"}