Functional identities of degree 2 in CSL algebras
نویسنده
چکیده مقاله:
Let $mathscr{L}$ be a commutative subspace lattice generated by finite many commuting independent nests on a complex separable Hilbert space $mathbf{H}$ with ${rm dim}hspace{2pt}mathbf{H}geq 3$, ${rm Alg}mathscr{L}$ the CSL algebra associated with $mathscr{L}$ and $mathscr{M}$ be an algebra containing ${rm Alg}mathscr{L}$. This article is aimed at describing the form of additive mapppings $F_1, F_2, G_1, G_2colon {rm Alg}mathscr{L}longrightarrow mathscr{M}$ satisfying functional identity $F_1(X)Y+F_2(Y)X+XG_2(Y)+YG_1(X)=0$ for all $X, Yin {rm Alg}mathscr{L}$. As an application generalized inner biderivations and commuting additive mappings are determined.
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عنوان ژورنال
دوره 43 شماره 6
صفحات 1601- 1619
تاریخ انتشار 2017-11-30
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