汇报标题 (Title)：Orthogonal tripotent matrices （正交三幂等矩阵）
汇报人 (Speaker)：左可正（湖北师范大学）
汇报功夫 (Time)：2026年6月18日（周四）9:00-10:00
汇报地址 (Place)：校本部E408
约请人(Inviter)：王卿文
主办部门：理学院数学系
汇报提要：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.
