{"paper":{"title":"Closed subspaces and some basic topological properties of noncommutative Orlicz spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Lining Jiang, Zhenhua Ma","submitted_at":"2016-01-06T11:31:40Z","abstract_excerpt":"In this paper, we study the noncommutative Orlicz space $L_{\\varphi}(\\widetilde{\\mathcal{M}},\\tau)$, which generalizes the concept of noncommutative $L^{p}$ space, where $\\mathcal{M}$ is a von Neumann algebra, and $\\varphi$ is an Orlicz function. As a modular space, the space $L_{\\varphi}(\\widetilde{\\mathcal{M}},\\tau)$ possesses the Fatou property, and consequently, it is a Banach space. In addition, a new description of the subspace $E_{\\varphi}(\\widetilde{\\mathcal{M}},\\tau)=\\overline{\\mathcal{M}\\bigcap L_{\\varphi}(\\widetilde{\\mathcal{M}},\\tau)}$ in $L_{\\varphi}(\\widetilde{\\mathcal{M}},\\tau)$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02941","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"}