Suppose that is an additive surjective 2-local Lie triple isomorphism. If is not of infinite multiplicity, we prove that 未 is of the form for any , where is an isomorphism or the negative of an anti-isomorphism and is a linear map with for all ....
2-local Lie n-derivationTRIPLE DERIVATIONSUNITAL ALGEBRASAUTOMORPHISMSISOMORPHISMSLet M be a finite von Neumann algebra with no central summands of type I1. We show that each nonlinear 2-local Lie n-derivation delta:M -> M with n >= 3 is of the form d + h, where d:M -> M is a...