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arXiv · 1312.6952

On derivations and Jordan derivations through zero products

Hoger Ghahramani
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Abstract

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.

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Hoger Ghahramani. 2013-12-25. On derivations and Jordan derivations through zero products. https://arxiv.org/abs/1312.6952

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