Tripotence Preserving Linear Maps on Real Quaternion Self-Conjugate Matriz Space

摘要：

Let R and Q be the field of all real numbers and the real quatemion division ringrespectively and SCn (Q) be the set of all nxn self-conjugate matrices overQ. HomR (ω1,ω2 ) denotes the set of all linear maps from spaceo ω1 to space ω2 over R. A mapL∈HomR(SCn(Q),M,,(Q))is called a tripotence preserver if L(A) is tripotent for every tripotent matrix A∈SCn(Q). This paper gives a characterization of above L.

关键词： real quatemion division ring tripotence preserver self-conjugate matriz

作者: Jia Liu Chongguang Cao

作者单位: Department of Mathematics, Heilongjiang University, Harbin, 150080, P.R.China

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: 301-304

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）