关于∗ 矩阵上非线性混合类型积 [e ⋄ k, d]∗ 的说明

Pub Date : 2024-04-14 DOI:10.15672/hujms.1294965
Mohammad Aslam Siddeeque, Raof Ahmad Bhat, Mohammad Shane Alam
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引用次数: 0

摘要

设 B 是一个具有统一性和非琐投影的 ∗ 代数。在本文中,我们将在某些限制条件下证明,如果映射 Ψ :B →B 满足 Ψ([E ⋄ K, D]∗) = [Ψ(E) ⋄ K, D]∗ + [E ⋄Ψ(K), D]∗ + [E ⋄ K, Ψ(D)]∗ 对于所有 E, K, D∈ B,那么 Ψ 是一个可加的∗派生。
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A NOTE ON NONLINEAR MIXED TYPE PRODUCT [E ⋄ K, D]∗ ON ∗-ALGEBRAS
Let B be a ∗-algebra with the unity and a nontrivial projection. In the present paper, we show under certain restrictions that if a map Ψ : B →B satisfies Ψ([E ⋄ K, D]∗) = [Ψ(E) ⋄ K, D]∗ + [E ⋄Ψ(K), D]∗ + [E ⋄ K, Ψ(D)]∗ for all E, K, D ∈ B, then Ψ is an additive ∗-derivation.
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