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

2016/04/15 by M. J. Burgos, María Burgos, Juan Carlos Cabello +6
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1604.04417

arxiv created 2016/04/15 · openalex publication_date 2016/04/15 · arxiv updated 2016/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that every weak-local triple derivation on a JB^*-triple E (i.e. a linear map T: E→ E such that for each ϕ∈ E^* and each a∈ E, there exists a triple derivation δ_a,ϕ : E→ E, depending on ϕ and a, such that ϕT(a) = ϕδ_a,ϕ (a)) is a (continuous) triple derivation.

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