On derivations and Jordan derivations through zero products

On derivations and Jordan derivations through zero products
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DOI:
10.7153/oam-08-42
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发表时间:
2013-12
期刊:
arXiv: Rings and Algebras
影响因子:
--
通讯作者:
H. Ghahramani
H. Ghahramani
中科院分区:
其他
文献类型:
--
作者:
H. Ghahramani

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设$\A$是一个单位复(Banach)代数,$\M$是一个单位(Banach)$\A$-双模.主要结果是通过对零积的作用,在一定条件下对$\A$和$\M$描述了(连续)导子或Jordan导子$D:\A\rightarrow \M$.证明是基于考虑一个(连续)双线性映射满足相关条件。
Let $\A$ be a unital complex (Banach) algebra and $\M$ be a unital (Banach) $\A$-bimodule. The main results describe (continuous) derivations or Jordan derivations $D:\A\rightarrow \M$ through the action on zero products, under certain conditions on $\A$ and $\M$. The proof is based on the consideration of a (continuous) bilinear map satisfying a related condition.