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Title
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Linearity of (generalized) $$*$$-Lie derivations and their structures on $$*$$-algebras
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Type
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JournalPaper
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Keywords
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Nonlinear ∗-Lie derivations · Derivations · ∗-algebras · von Neumann algebras · Standard operator algebras
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Abstract
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Let A be a unital ∗-algebra with characteristic not 2 and containing a nontrivial projection. We show that each nonlinear ∗-Lie derivation on A is a linear ∗-derivation. Moreover, we characterize nonlinear left ∗-Lie centralizers and nonlinear generalized ∗-Lie derivations. These results are applied to standard operator algebras and von Neumann algebras in complex Hilbert spaces, which generalize some known results.
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Researchers
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Wu Jing (Third Researcher), Hoger Ghahramani (Second Researcher), Behrooz Fadaee (First Researcher)
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