THE PROPERTIES OF JORDAN DERIVATIONS OF SEMIPRIME RINGS AND BANACH ALGEBRAS, II

被引：0
|
作者：
Kim, Byung-Do [1 ]
机构：
[1] Gangneung Wonju Natl Univ, Dept Math, Kangnung 25457, South Korea
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 34卷 / 03期
关键词：
Jordan derivation; derivation; semiprime ring; Banach algebra; the (Jacobson) radical;
D O I：
10.4134/CKMS.c180264
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a Banach algebra with rad(A). We show that if there exists a continuous linear Jordan derivation D on A, then [D(x), x]D(x)(2) is an element of rad(A) if and only if D (x)[D (x), x]D(x) is an element of rad(A) for all x is an element of A.
引用
收藏
页码：811 / 818
页数：8
相关论文
共 50 条
  • [21] Generalized Jordan left derivations on semiprime algebras
    Han, Dong
    Wei, Feng
    MONATSHEFTE FUR MATHEMATIK, 2010, 161 (01): : 77 - 83
  • [22] Centralizers and Jordan triple derivations of semiprime rings
    Lee, Tsiu-Kwen
    Truong Cong Quynh
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (01) : 236 - 251
  • [23] Characterizations of derivations and Jordan derivations on Banach algebras
    Lu, Fangyan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (8-9) : 2233 - 2239
  • [24] Derivations of rings and Banach algebras
    Raza, Mohd Arif
    Khan, Mohammad Shadab
    Rehman, Nadeem Ur
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 141 - 153
  • [25] Jordan algebras at Jordan elements of semiprime rings with involution
    Brox, Jose
    Garcia, Esther
    Gomez Lozano, Miguel
    JOURNAL OF ALGEBRA, 2016, 468 : 155 - 181
  • [26] Jordan f-Derivations on Prime and Semiprime Rings
    Leerawat, Utsanee
    Toka, Patipat
    THAI JOURNAL OF MATHEMATICS, 2024, 22 (01): : 85 - 91
  • [27] Generalized Jordan Right Derivations on Prime and Semiprime Γ-Rings
    Faruk, Omar
    Rahman, Md Mizanor
    JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2019, 14 (04): : 268 - 279
  • [28] Jordan *-Derivations of Finite-Dimensional Semiprime Algebras
    Fosner, Ajda
    Lee, Tsiu-Kwen
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (01): : 51 - 60
  • [29] Left Jordan derivations on Banach algebras
    Ebadian, A.
    Gordji, M. Eshaghi
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2011, 6 (01): : 1 - 6
  • [30] GENERALIZED JORDAN TRIPLE HIGHER DERIVATIONS ON SEMIPRIME RINGS
    Wei, Feng
    Xiao, Zhankui
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (03) : 553 - 565
12345