Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras

被引：7
作者：
He, J. [1 ]
Li, J. [1 ]
An, G. [1 ]
Huang, W. [1 ]
机构：
[1] East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 04期
基金：
中国国家自然科学基金;
关键词：
2-local derivation; local Lie derivation; 2-local Lie derivation; matrix algebra; von Neumann algebra; C-ASTERISK-ALGEBRAS; OPERATOR-ALGEBRAS; CSL ALGEBRAS; AUTOMORPHISMS; IDEALS;
D O I：
10.1134/S0037446618040146
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that each 2-local derivation from the algebra M-n(A ) (n > 2) into its bimodule M-n(M) is a derivation, where A is a unital Banach algebra and M is a unital A -bimodule such that each Jordan derivation from A into M is an inner derivation, and that each 2-local derivation on a C*-algebra with a faithful traceable representation is a derivation. We also characterize local and 2-local Lie derivations on some algebras such as von Neumann algebras, nest algebras, the Jiang-Su algebra, and UHF algebras.
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页码：721 / 730
页数：10
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