Orthogonal tripotent matrices
Rings and Algebras
2025-11-25 v1 Operator Algebras
Abstract
In this paper, we present different characterizations of tripotent orthogonal matrices (i.e., A^3 = A = A^* ) in terms of matrix equations, integer powers of AA^* and A^*A, average of A, A^*, and A^{\dagger}, rank of matrices, and trace of matrices. We study certain properties of this class of matrices.
Keywords
Cite
@article{arxiv.2511.17530,
title = {Orthogonal tripotent matrices},
author = {Tan Mei and Kezheng Zuo and Wanlin Jiang},
journal= {arXiv preprint arXiv:2511.17530},
year = {2025}
}