{"paper":{"title":"Derivations on FCIN algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Asia Majeed, cenap ozel","submitted_at":"2015-04-04T02:51:54Z","abstract_excerpt":"Let $\\mathcal{L}$ be an algebra generated by the commuting independent nests, $\\mathcal{M}$ is an ultra-weakly closed subalgebra of $\\mathbf{B(H)}$ which contains $alg\\mathcal{L}$ and $\\phi$ is a norm continuous linear mapping from $alg\\mathcal{L}$ into $\\mathcal{M}$. In this paper we will show that a norm continuous linear derivable mapping at zero point from $Alg\\mathcal{L}$ to $\\mathcal{M}$ is a derivation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00974","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"}