On left Jordan derivations of rings and Banach algebras

被引：0

作者：

Joso Vukman

机构：

[1] University of Maribor,Department of Mathematics and Computer Science Faculty of Natural Sciences and Mathematics

来源：

Aequationes mathematicae | 2008年 / 75卷

关键词：

16N60; 46K15; Prime ring; semiprime ring; Banach algebra; derivation; Jordan derivation; left derivation; left Jordan derivation; commuting mappings; centralizing mapping;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is well known that there are no nonzero linear derivations on complex commutative semisimple Banach algebras. In this paper we prove the following extension of this result. Let A be a complex semisimple Banach algebra and let D : A → A be a linear mapping satisfying the relation D(x2) = 2xD(x) for all x ∈ R. In this case D = 0.

引用

页码：260 / 266

页数：6