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.
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页码：260 / 266
页数：6
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