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):E408
邀请人(Inviter):王卿文
报告摘要:Orthogonal tripotent matrices (i.e., ) constitute a generalization of orthogonal idempotent matrices (i.e., ). In this paper, we present different characterizations of orthogonal tripotent matrices in terms of matrix equations, integer powers of and , averages involving, and 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.