Journal of Jilin University Science Edition
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FEI Xiuhai, ZHANG Jianhua, WANG Zhonghua
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be a factor von Neumann algebra and δ be a mapping from M into itself (without assumption of additivity or continuity), we can show that if δ satisfies mδ(AB)+nδ(BA)=mδ(A)B+mAδ(B)+nδ(B)A+nBδ(A) for all A,B∈M, then δ is an additive derivation using the method of decomposing matrix.
Key words: factor von Neumann algebras, (m,n) derivations, (m,n) Jordan derivations, derivations, inner derivations
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FEI Xiuhai, ZHANG Jianhua, WANG Zhonghua. Nonlinear (m,n) Derivations on Factor von Neumann Algebras[J].Journal of Jilin University Science Edition, 2015, 53(03): 424-428.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2015/V53/I03/424
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