Bi-Skew Lie (Jordan) Product on Factor Von Neumann Algebras
In this manuscript, we characterize the bijective mapping between two von Neumann algebras and with dim ⩾ 1. The mapping Λ is to satisfy the following condition on the mixed bi-skew Lie (Jordan) product , for all , where the bi-skew Lie (Jordan) product is defined as , and . Specifically, we elaborate on the properties of the mapping Λ, establishing that it is additive, a∗-somorphism, and linear.
Authors
- Arif Raza (ORCID: https://orcid.org/0000-0001-6799-8969)
- Huda Eid Almehmadi
Institutions
- King Abdulaziz University (SA)
Publication Details
- Journal
- Contemporary Mathematics
- Published
- 2024-12-25
- DOI
- https://doi.org/10.37256/cm.5420245028
- Citations
- 1
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 1.27