Characterization of ξ-Lie multiplicative isomorphisms

摘要：

Let F be a field and ξ a scalar in F, Let A and B be algebras over F. A map φ : A→B is called a ξ-Lie multiplicative isomorphism if φ (AB-ξBA)= φ(A) φ(B) ξ-φ (B) φ (A) for all A, B ∈ A and φ is bijective. The additivity of ξ-Lie rnultiplicative isomorphisms on prime algebras is discussed. A characterization of ξ-Lie multiplicative isomorphisms from Mn(F) onto itself is given and this result is also generalized to the infinite dimensional case.

关键词： Matriz algebras ξ-Lie product ξ-Lie multiplicative isomorphisms standard operator algebras

作者: Xiaofei Qi Jinchuan Hou

作者单位: Department of Mathematics, Shanxi University.Taiyuan, 030006 Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 916-919

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）