Local triple derivations on C*-algebras

2012/08/15 by Maria Burgos, Francisco J. Fernández-Polo, Burgos, Maria +5
Mathematics · #46L05 #46L08 (Secondary) #46L57 (Primary) 17C65 #47B47 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:17C65 #msc:46L05 #msc:46L08 #msc:46L57 #msc:47B47

paper · pdf · doi:10.48550/arxiv.1208.3093

12 pages, submitted

arxiv created 2012/08/16 · arxiv updated 2012/08/17

Abstract

We prove that every bounded local triple derivation on a unital C*-algebra is a triple derivation. A similar statement is established in the category of unital JB*-algebras.

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