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On Mixed Nonlinear Skew Lie (Jordan) Products on Von Neumann Algebras
Husain Alhazmi, Mohd Arif Raza, Abdul Nadim Khan, Tahani AL-Sobhi
Source abstract
Let and be von Neumann algebras. For , define by the skew Lie (Jordan) product of and . In this manuscript, we study a bijective mapping satisfying for all . Especially, we elaborate on the characteristics of the map Λ . The study revealed several constructive facts, leading to the conclusion that the map Λ is additive.
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