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2024 | OriginalPaper | Chapter

Non-linear Mappings Preserving Product \(\texttt {m}^{}{} \texttt {n}+\texttt {n}^{}{} \texttt {m}\) on Factor von Neumann Algebras

Authors : Mohd Arif Raza, Tahani Al-Sobhi

Published in: Advances in Ring Theory and Applications

Publisher: Springer Nature Switzerland

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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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previous chapter Commuting Iterates of Generalized Derivations on Lie Ideals

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Title: Non-linear Mappings Preserving Product on Factor von Neumann Algebras
Authors: Mohd Arif Raza
Tahani Al-Sobhi
Publisher: Springer Nature Switzerland
Book: Advances in Ring Theory and Applications
Print ISBN: 978-3-031-50794-6

Electronic ISBN: 978-3-031-50795-3

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-50795-3_24

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