Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
- Авторлар: He J.1, Li J.1, An G.1, Huang W.1
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Мекемелер:
- Department of Mathematics
- Шығарылым: Том 59, № 4 (2018)
- Беттер: 721-730
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171996
- DOI: https://doi.org/10.1134/S0037446618040146
- ID: 171996
Дәйексөз келтіру
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.
Авторлар туралы
J. He
Department of Mathematics
Хат алмасуға жауапты Автор.
Email: jkli@ecust.edu.cn
ҚХР, Shanghai
J. Li
Department of Mathematics
Email: jkli@ecust.edu.cn
ҚХР, Shanghai
G. An
Department of Mathematics
Email: jkli@ecust.edu.cn
ҚХР, Shanghai
W. Huang
Department of Mathematics
Email: jkli@ecust.edu.cn
ҚХР, Shanghai