{"paper":{"title":"Non-linear $\\ast$-Jordan derivations on von Neumann algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ali Taghavi, Hamid Rohi, Vahid Darvish","submitted_at":"2015-04-16T09:03:05Z","abstract_excerpt":"Let $\\mathcal{A}$ be a factor von Neumann algebra and $\\phi$ be the $\\ast$-Jordan derivation on $A$, that is, for every $A,B \\in \\mathcal{A}$,\n  $\\phi(A\\diamond_{1} B) = \\phi(A)\\diamond_{1} B + A\\diamond_{1}\\phi( B)$ where $A\\diamond_{1} B = AB + BA^{\\ast}$, then $\\phi$ is additive $\\ast$-derivation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04147","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"}