Local derivations on certain CSL algebras
Local derivations on certain CSL algebras
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DOI：
10.1016/j.laa.2005.08.003
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发表时间：
2006-02
影响因子：
1.1
通讯作者：
Jianhua Zhang;Fang-Fang Pan-Fang;Ai-Li Yang
中科院分区：
文献类型：
--
作者：
Jianhua Zhang;Fang-Fang Pan-Fang;Ai-Li Yang
本文证明了从任意CSL代数到包含该代数的任何超弱闭子代数的范数连续线性局部导子是内导子，该CSL代数的格是由多个独立套生成的，从格是完全分配的任意CSL代数到包含该代数的任意超弱闭子代数的范数连续线性局部导子是导子。
In this paper, it is shown that every norm continuous linear local derivation from an arbitrary CSL algebra whose lattice is generated by finitely many independent nests into any ultraweakly closed subalgebra which contains the algebra is an inner derivation, and that every norm continuous linear local derivation from an arbitrary CSL algebra whose lattice is completely distributive into any ultraweakly closed subalgebra which contains the algebra is a derivation.