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arXiv · 1604.04417

Weak-local triple derivations on C*-algebras and JB*-triples

M. J. Burgos·J. C. Cabello·A. M. Peralta
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Abstract

We prove that every weak-local triple derivation on a JB$^*$-triple $E$ (i.e. a linear map $T: E\to E$ such that for each $ϕ\in E^*$ and each $a\in E$, there exists a triple derivation $δ_{a,ϕ} : E\to E$, depending on $ϕ$ and $a$, such that $ϕT(a) = ϕδ_{a,ϕ} (a)$) is a (continuous) triple derivation.

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M. J. Burgos, J. C. Cabello, A. M. Peralta. 2016-04-15. Weak-local triple derivations on C*-algebras and JB*-triples. https://arxiv.org/abs/1604.04417

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