Preserver problems on Toeplitz matrices
Functional Analysis
2026-03-10 v1
Abstract
We study linear preserver problems on the linear space of Toeplitz matrices over the real field or the complex field. In particular, characterizations are given for linear preservers of rank one matrices and linear preservers of the determinant. We also present related results and questions on other structured matrices.
Keywords
Cite
@article{arxiv.2603.06721,
title = {Preserver problems on Toeplitz matrices},
author = {Rayhan Ahmed and Vladimir Bolotnikov and William Hoyle and Chi-Kwong Li},
journal= {arXiv preprint arXiv:2603.06721},
year = {2026}
}
Comments
16 pages