报告题目 (Title)：Orthogonal tripotent matrices （正交三幂等矩阵）
报告人 (Speaker)：左可正（湖北师范大学）
报告时间 (Time)：2026年6月18日（周四）9:00-10:00
报告地点 (Place)：校本部E408
邀请人(Inviter)：王卿文
主办部门：yl1111永利集团数学系
报告摘要：Orthogonal tripotent matrices (i.e., A^3 = A = A^*) constitute a generalization of orthogonal idempotent matrices (i.e., A^2 = A = A^*). In this paper, we present different characterizations of orthogonal tripotent matrices in terms of matrix equations, integer powers of AA^* and A^* A, averages involving A, A^*, and A^+ as well as matrix rank and trace conditions. We further investigate the relationships between this class of matrices and other matrix classes, including normal matrices, EP matrices and partial isometry matrices, among others.
