Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
- Авторы: He J.1, Li J.1, An G.1, Huang W.1
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Учреждения:
- Department of Mathematics
- Выпуск: Том 59, № 4 (2018)
- Страницы: 721-730
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171996
- DOI: https://doi.org/10.1134/S0037446618040146
- ID: 171996
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Аннотация
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.
Об авторах
J. He
Department of Mathematics
Автор, ответственный за переписку.
Email: jkli@ecust.edu.cn
Китай, Shanghai
J. Li
Department of Mathematics
Email: jkli@ecust.edu.cn
Китай, Shanghai
G. An
Department of Mathematics
Email: jkli@ecust.edu.cn
Китай, Shanghai
W. Huang
Department of Mathematics
Email: jkli@ecust.edu.cn
Китай, Shanghai