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.
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页码：811 / 818
页数：8
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