The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866914248988295168 |
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| author | Itzá-Ortiz, Benjamín A. Martínez-Avendaño, Rubén A. Nakazato, Hiroshi |
| author_facet | Itzá-Ortiz, Benjamín A. Martínez-Avendaño, Rubén A. Nakazato, Hiroshi |
| contents | In this paper we show that the closure of the numerical range of an $n+1$-periodic tridiagonal operator is equal to the numerical range of a $2(n+1)\times 2(n+1)$ complex matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_13259 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix Itzá-Ortiz, Benjamín A. Martínez-Avendaño, Rubén A. Nakazato, Hiroshi Functional Analysis 47A12 (Primary) 47B02, 47B93 (Secondary) In this paper we show that the closure of the numerical range of an $n+1$-periodic tridiagonal operator is equal to the numerical range of a $2(n+1)\times 2(n+1)$ complex matrix. |
| title | The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix |
| topic | Functional Analysis 47A12 (Primary) 47B02, 47B93 (Secondary) |
| url | https://arxiv.org/abs/2102.13259 |