Abstract

We prove that every (not necessarily linear nor continuous) 2-local triple homomorphism from a JBW⁎-triple into a JB⁎-triple is linear and a triple homomorphism. Consequently, every 2-local triple homomorphism from a von Neumann algebra (respectively, from a JBW⁎-algebra) into a C⁎-algebra (respectively, into a JB⁎-algebra) is linear and a triple homomorphism.

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