Abstract
Abstract Let đ {\mathcal{A}} and ⏠{\mathcal{B}} be two von Neumann algebras. In this paper, we show that a bijective unital map Ί : đ â ⏠{\Phi:\mathcal{A}\to\mathcal{B}} which preserves the bi-skew Jordan product is an additive â {\ast} -isomorphism. Moreover, we show that Ί is a linear â {\ast} -isomorphism or a conjugate linear â {\ast} -isomorphism.
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