{"paper":{"title":"Characterizations of Lie Higher Derivations on J-Subspace Lattice Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Dong Han, Feng Wei","submitted_at":"2016-10-07T08:47:10Z","abstract_excerpt":"Let $\\mathcal{L}$ be a $\\mathcal{J}$-subspace lattice on a Banach space $X$ over the real or complex field $\\mathbb{F}$ and $ \\mathrm{Alg}\\mathcal{L}$ be the associated $\\mathcal{J}$-subspace lattice algebras. In this paper, we characterize the structure of a family $\\{L_n\\}_{n=0}^{\\infty}: \\mathrm{Alg}\\mathcal{L}\\rightarrow \\mathrm{Alg}\\mathcal{L}$ of linear mappings satisfying the condition\n  $$L_n([A, B])=\\sum_{i+j=n}[L_i(A), L_j(B)]$$ for any $A, B\\in\\mathrm{Alg}\\mathcal{L}$ with $AB = 0$. Moreover, the family $\\{L_n\\}_{n=0}^{\\infty}: \\mathrm{Alg}\\mathcal{L}\\rightarrow \\mathrm{Alg}\\mathcal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02188","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"}