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On Lie triple centralizers of von Neumann algebras

On Lie triple centralizers of von Neumann algebras

Abstract ‎Let U be a von Neumann algebra endowed with the Lie product [A,B]=AB-BA (A,B in U)‎. ‎In this article‎, ‎we consider the subsequent condition on an additive mapping \phi on the von Neumann algebra U with a suitable projection P in U‎: ‎\phi([ [A‎ , ‎B]‎ , ‎C ]) …