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.
引用
收藏
页码：721 / 730
页数：10
相关论文
共 50 条
  • [1] Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
    J. He
    J. Li
    G. An
    W. Huang
    Siberian Mathematical Journal, 2018, 59 : 721 - 730
  • [2] Local derivations and 2-local Lie derivations of triangular algebras
    Liu, Dan
    Niu, Xiaolei
    SCIENCEASIA, 2024, 50 (02):
  • [3] Local and 2-Local Derivations of Locally Simple Lie Algebras
    Ayupov S.
    Kudaybergenov K.
    Yusupov B.
    Journal of Mathematical Sciences, 2024, 278 (4) : 613 - 622
  • [4] Derivations, local and 2-local derivations on algebras of measurable operators
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRA, 2016, 672 : 51 - 72
  • [5] 2-Local Derivations on Some C*-Algebras
    Fard, Meysam Habibzadeh
    Sahleh, Abbas
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (03) : 649 - 656
  • [6] Derivations, Local and 2-Local Derivations on Some Algebras of Operators on Hilbert C*-Modules
    Jun He
    Jiankui Li
    Danjun Zhao
    Mediterranean Journal of Mathematics, 2017, 14
  • [7] Local and 2-local Lie n-derivations of triangular algebras
    Zhao, Xingpeng
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (10) : 4388 - 4398
  • [8] Local and 2-Local Lie Derivations of Operator Algebras on Banach Spaces
    Lin Chen
    Fangyan Lu
    Ting Wang
    Integral Equations and Operator Theory, 2013, 77 : 109 - 121
  • [9] Local and 2-Local Lie Derivations of Operator Algebras on Banach Spaces
    Chen, Lin
    Lu, Fangyan
    Wang, Ting
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 77 (01) : 109 - 121
  • [10] Derivations, Local and 2-Local Derivations on Some Algebras of Operators on Hilbert C*-Modules
    He, Jun
    Li, Jiankui
    Zhao, Danjun
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
12345