{"paper":{"title":"Derivations, local and 2-local derivations on some algebras of operators on Hilbert C*-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Danjun Zhao, Jiankui Li, Jun He","submitted_at":"2017-05-26T06:41:37Z","abstract_excerpt":"For a commutative C*-algebra $\\mathcal A$ with unit $e$ and a Hilbert~$\\mathcal A$-module $\\mathcal M$, denote by End$_{\\mathcal A}(\\mathcal M)$ the algebra of all bounded $\\mathcal A$-linear mappings on $\\mathcal M$, and by End$^*_{\\mathcal A}(\\mathcal M)$ the algebra of all adjointable mappings on $\\mathcal M$. We prove that if $\\mathcal M$ is full, then each derivation on End$_{\\mathcal A}(\\mathcal M)$ is $\\mathcal A$-linear, continuous, and inner, and each 2-local derivation on End$_{\\mathcal A}(\\mathcal M)$ or End$^{*}_{\\mathcal A}(\\mathcal M)$ is a derivation. If there exist $x_0$ in $\\m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09450","kind":"arxiv","version":2},"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"}