Abstract
In this manuscript, we explore the form of a non-linear bijective maps on factor von Neumann algebras \(\textsf{M}\) and \(\textsf{N}\) such that \(\varOmega :\textsf{M}\rightarrow \textsf{N}\) satisfies \(\varOmega (\texttt {m} ~\diamondsuit ~ \texttt {n})=\varOmega (\texttt {n})~\diamondsuit ~\varOmega (\texttt {m})\), where \(\texttt {m}~\diamondsuit ~ \texttt {n}=\texttt {m}^{*}{} \texttt {n}+\texttt {n}^{*}{} \texttt {m}\), for all \(\texttt {m},\texttt {n}\in \textsf{M}\).
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The authors are grateful to the referees for their helpful feedback and suggestions.
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Arif Raza, M., Al-Sobhi, T. (2024). Non-linear Mappings Preserving Product \(\texttt {m}^{*}{} \texttt {n}+\texttt {n}^{*}{} \texttt {m}\) on Factor von Neumann Algebras. In: Ali, S., Ashraf, M., De Filippis, V., Rehman, N.u. (eds) Advances in Ring Theory and Applications. WARA 2022. Springer Proceedings in Mathematics & Statistics, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-031-50795-3_24
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DOI: https://doi.org/10.1007/978-3-031-50795-3_24
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