JORDAN DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS, I

被引：0

作者：

Kim, Byung-Do ^{[1
]}

机构：

[1] Kangnung Natl Univ, Dept Math, Kangnung 210702, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2008年 / 15卷 / 02期

关键词：

semiprime ring; noncommutative Banach algebra; Jacobson radical; spectral radius; Jordan drivation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A -> A such that D(x)[D(x), x](2) is an element of rad(A) or [D(x), x](2) D(x) is an element of rad(A) for all x is an element of A. In this case, we have D(A) subset of rad(A).

引用

页码：179 / 201

页数：23

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