Lie triple derivations of TUHF algebras

Lie triple derivations of TUHF algebras
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DOI:
10.1016/j.laa.2005.02.004
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发表时间:
2005-07
影响因子:
1.1
通讯作者:
Peisheng Ji;Lin Wang
Peisheng Ji;Lin Wang
中科院分区:
数学3区
文献类型:
--
作者:
Peisheng Ji;Lin Wang

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研究了TUHF代数的李三导子。证明了若L是TUHF代数T的连续李三导子,则存在T的结合导子D使得L=D+λ,其中λ是T到其中心的零化算子括号的线性映射.
We study Lie triple derivations of TUHF algebras. It is shown that if L is a continuous Lie triple derivation of a TUHF algebra T, then there exists an associative derivation D of T such that L=D+λ, where λ is a linear map of T into its center which annihilates brackets of operators.