On Kippenhahn curves of low rank partial isometries
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_ | 1866914263438721024 |
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| author | Popov, Nikita Shen, Eric Spitkovsky, Ilya M. |
| author_facet | Popov, Nikita Shen, Eric Spitkovsky, Ilya M. |
| contents | Conditions are established for rank three partial isometries to have circular components contained in their Kippenhahn curves. In particular, such matrices with circular numerical ranges are described. It is also established that the Gau-Wang-Wu conjecture holds for matrices under consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12923 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Kippenhahn curves of low rank partial isometries Popov, Nikita Shen, Eric Spitkovsky, Ilya M. Functional Analysis Conditions are established for rank three partial isometries to have circular components contained in their Kippenhahn curves. In particular, such matrices with circular numerical ranges are described. It is also established that the Gau-Wang-Wu conjecture holds for matrices under consideration. |
| title | On Kippenhahn curves of low rank partial isometries |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2601.12923 |