On the Derivations of Semiprime Rings and Noncommutative Banach Algebras

被引：0

作者：

Byungdo Kim

机构：

[1] Kangnung National University,Department of Mathematics

来源：

Acta Mathematica Sinica | 2000年 / 16卷

关键词：

Prime and semiprime rings; Derivations; Jordan derivations; Jacobson radical; Banach algebras; Spectral radius; 16N60; 16W25; 17B40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A→A such that [D(x), x]D(x)[D(x),x] ∈ rad(A) for all x∈A. In this case, D(A) ⊆ rad (A).

引用

页码：21 / 28

页数：7

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