On Mixed Nonlinear Skew Lie (Jordan) Products on Von Neumann Algebras
Let U and V be von Neumann algebras. For D,E∈U, define by D,E∗=DE−ED∗D⋄E=DE+ED∗ the skew Lie (Jordan) product of D and E. In this manuscript, we study a bijective mapping Λ:U⟶V satisfying ΛD,E∗=ΛD⋄ΛE for all D,E∈U. Especially, we elaborate on the characteristics of the map Λ. The study revealed seve...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/1407653 |