مشخصات پژوهش

عنوان	Linearity of (generalized) $$*$$-Lie derivations and their structures on $$*$$-algebras
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Nonlinear ∗-Lie derivations · Derivations · ∗-algebras · von Neumann algebras · Standard operator algebras
چکیده	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.
پژوهشگران	وو جینگ (نفر سوم)، هوگر قهرمانی (نفر دوم)، بهروز فدایی (نفر اول)