Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
- 作者: He J.1, Li J.1, An G.1, Huang W.1
-
隶属关系:
- Department of Mathematics
- 期: 卷 59, 编号 4 (2018)
- 页面: 721-730
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171996
- DOI: https://doi.org/10.1134/S0037446618040146
- ID: 171996
如何引用文章
详细
We prove that each 2-local derivation from the algebra Mn(A ) (n > 2) into its bimodule Mn(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.
作者简介
J. He
Department of Mathematics
编辑信件的主要联系方式.
Email: jkli@ecust.edu.cn
中国, Shanghai
J. Li
Department of Mathematics
Email: jkli@ecust.edu.cn
中国, Shanghai
G. An
Department of Mathematics
Email: jkli@ecust.edu.cn
中国, Shanghai
W. Huang
Department of Mathematics
Email: jkli@ecust.edu.cn
中国, Shanghai