Preserver problems on Toeplitz matrices
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917319382401024 |
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| author | Ahmed, Rayhan Bolotnikov, Vladimir Hoyle, William Li, Chi-Kwong |
| author_facet | Ahmed, Rayhan Bolotnikov, Vladimir Hoyle, William Li, Chi-Kwong |
| contents | We study linear preserver problems on the linear space of $n\times n$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06721 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Preserver problems on Toeplitz matrices Ahmed, Rayhan Bolotnikov, Vladimir Hoyle, William Li, Chi-Kwong Functional Analysis 15A86, 15B05 We study linear preserver problems on the linear space of $n\times n$ 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. |
| title | Preserver problems on Toeplitz matrices |
| topic | Functional Analysis 15A86, 15B05 |
| url | https://arxiv.org/abs/2603.06721 |