{"paper":{"title":"An Extension of the Beurling-Chen-Hadwin-Shen Theorem for Noncommutative Hardy Spaces Associated with Finite von Neumann Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Don Hadwin, Haihui Fan, Wenjing Liu","submitted_at":"2018-01-14T01:49:54Z","abstract_excerpt":"In 2015, Yanni Chen, Don Hadwin and Junhao Shen proved a noncommutative version of Beurling's theorems for a continuous unitarily invariant norm $% \\alpha $ on a tracial von Neumann algebra $\\left( \\mathcal{M},\\tau \\right) $ where $\\alpha $ is $\\left\\Vert \\cdot \\right\\Vert _{1}$-dominating with respect to $\\tau $. In the paper, we first define a class of norms $% N_{\\Delta }\\left( \\mathcal{M},\\tau \\right) $ on $\\mathcal{M}$, called determinant, normalized, unitarily invariant continuous norms on $\\mathcal{M}$. If $\\alpha \\in N_{\\Delta }\\left( \\mathcal{M},\\tau \\right) $, then there exists a fai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05300","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"}