Email this article Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
- Authors: He J.1, Li J.1, An G.1, Huang W.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 59, No 4 (2018)
- Pages: 721-730
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171996
- DOI: https://doi.org/10.1134/S0037446618040146
- ID: 171996
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Abstract
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.
About the authors
J. He
Department of Mathematics
Author for correspondence.
Email: jkli@ecust.edu.cn
China, Shanghai
J. Li
Department of Mathematics
Email: jkli@ecust.edu.cn
China, Shanghai
G. An
Department of Mathematics
Email: jkli@ecust.edu.cn
China, Shanghai
W. Huang
Department of Mathematics
Email: jkli@ecust.edu.cn
China, Shanghai
