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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.23545 |
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| _version_ | 1866918407406878720 |
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| author | Lakos, Gyula |
| author_facet | Lakos, Gyula |
| contents | The conformal range (or the real Davis--Wielandt shell), which is a particular planar projection of the Davis--Wielandt shell, can be considered as the hyperbolic version of the numerical range; i. e. it is a ``field of values'' which can be interpreted as a subset of the asymptotically closed hyperbolic plane. Here we explain the analogue of the elliptical range theorem of $2\times2$ complex matrices for the conformal range. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23545 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The elliptical range theorem for the conformal range Lakos, Gyula Spectral Theory Primary: 15A60, Secondary: 51M10 The conformal range (or the real Davis--Wielandt shell), which is a particular planar projection of the Davis--Wielandt shell, can be considered as the hyperbolic version of the numerical range; i. e. it is a ``field of values'' which can be interpreted as a subset of the asymptotically closed hyperbolic plane. Here we explain the analogue of the elliptical range theorem of $2\times2$ complex matrices for the conformal range. |
| title | The elliptical range theorem for the conformal range |
| topic | Spectral Theory Primary: 15A60, Secondary: 51M10 |
| url | https://arxiv.org/abs/2603.23545 |