Orthogonal tripotent matrices

Fuente: arXiv
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Main Authors: Mei, Tan, Zuo, Kezheng, Jiang, Wanlin
Format: Preprint
Published: 2025
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author Mei, Tan
Zuo, Kezheng
Jiang, Wanlin
author_facet Mei, Tan
Zuo, Kezheng
Jiang, Wanlin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_17530
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Orthogonal tripotent matrices
Mei, Tan
Zuo, Kezheng
Jiang, Wanlin
Rings and Algebras
Operator Algebras
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.
title Orthogonal tripotent matrices
topic Rings and Algebras
Operator Algebras
url https://arxiv.org/abs/2511.17530