Jordan (α,β)-Derivations on Operator Algebras

被引:1
|
作者
Chen, Quanyuan [1 ]
Fang, Xiaochun [2 ]
Li, Changjing [3 ]
机构
[1] Jingdezhen Ceram Inst, Coll Informat, Jingdezhen 333403, Jiangxi, Peoples R China
[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[3] Shandong Normal Univ, Dept Math, Jinan 250014, Shandong, Peoples R China
关键词
DERIVATIONS; BETA)-DERIVATIONS; (ALPHA; MAPS;
D O I
10.1155/2017/4757039
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H. It is shown that any Jordan (alpha,beta)-derivation on A is an (alpha,beta)-derivation, where alpha,beta are any automorphisms on A. Moreover, the nth power (alpha,beta)-maps on A are investigated.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] A note on Jordan σ-derivations of triangular algebras
    Wang, Yu
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (03): : 639 - 644
  • [32] Jordan generalized derivations on triangular algebras
    Li, Yanbo
    Benkovic, Dominik
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (08): : 841 - 849
  • [33] Jordan derivations of unital algebras with idempotents
    Benkovic, Dominik
    Sirovnik, Nejc
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (09) : 2271 - 2284
  • [34] Jordan Higher Derivations of Incidence Algebras
    Lizhen Chen
    Zhankui Xiao
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 431 - 442
  • [35] Jordan Higher Derivations of Triangular Algebras
    Yang, Aili
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2015, 53 (01): : 68 - 73
  • [36] LIE BRACKET JORDAN DERIVATIONS IN BANACH JORDAN ALGEBRAS
    Paokanta, Siriluk
    Lee, Jung Rye
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2021, 28 (02): : 91 - 102
  • [37] Jordan derivations of full matrix algebras
    Alizadeh, R.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (01) : 574 - 578
  • [38] Jordan Higher Derivations of Incidence Algebras
    Chen, Lizhen
    Xiao, Zhankui
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (01) : 431 - 442
  • [39] The Image of Jordan Left Derivations on Algebras
    Hosseini, Amin
    Fosner, Ajda
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (06): : 53 - 61
  • [40] Left Jordan derivations on Banach algebras
    Ebadian, A.
    Gordji, M. Eshaghi
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2011, 6 (01): : 1 - 6