Contractive upper triangular matrices with prescribed diagonals and superdiagonals
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911018502848512 |
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| author | Renard, Axel |
| author_facet | Renard, Axel |
| contents | A characterization of the matrix representation of the compressed shift acting on a finite-dimensional model space endowed with the Takenaka-Malmquist-Walsh basis, among all upper triangular matrices, is proved. For a fixed dimension, this matrix is the unique matrix with spectral norm no greater than one and with a prescribed diagonal and superdiagonal. We also discuss an extension to the setting of infinite matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15444 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Contractive upper triangular matrices with prescribed diagonals and superdiagonals Renard, Axel Functional Analysis 47A30, 47A08, 15A60, 15A83, 30H05, 30H10 A characterization of the matrix representation of the compressed shift acting on a finite-dimensional model space endowed with the Takenaka-Malmquist-Walsh basis, among all upper triangular matrices, is proved. For a fixed dimension, this matrix is the unique matrix with spectral norm no greater than one and with a prescribed diagonal and superdiagonal. We also discuss an extension to the setting of infinite matrices. |
| title | Contractive upper triangular matrices with prescribed diagonals and superdiagonals |
| topic | Functional Analysis 47A30, 47A08, 15A60, 15A83, 30H05, 30H10 |
| url | https://arxiv.org/abs/2506.15444 |