{"paper":{"title":"A non-commutative Beurling's theorem with respect to unitarily invariant norms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Don Hadwin, Junhao Shen, Yanni Chen","submitted_at":"2015-05-15T03:42:37Z","abstract_excerpt":"In 1967, Arveson invented a non-commutative generalization of classical $H^{\\infty},$ known as finite maximal subdiagonal subalgebras, for a finite von Neumann algebra $\\mathcal M$ with a faithful normal tracial state $\\tau$. In 2008, Blecher and Labuschagne proved a version of Beurling's theorem on $H^\\infty$-right invariant subspaces in a non-commutative $L^{p}(\\mathcal M,\\tau)$ space for $1\\le p\\le \\infty$. In the present paper, we define and study a class of norms ${\\mathcal{N}}_{c}(\\mathcal M, \\tau)$ on $\\mathcal{M},$ called normalized, unitarily invariant, $\\Vert \\cdot \\Vert_{1}$-dominat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03952","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"}