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

页码：811 / 818

页数：8

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