Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.17191 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911456982728704 |
|---|---|
| author | Babev, V. D. Ivanov, M. Nikolov, R. |
| author_facet | Babev, V. D. Ivanov, M. Nikolov, R. |
| contents | We provide a new proof of Ader's characterisation of the ellipse of minimal Banach-Mazur distance to the unit circle of a normed plane in terms of contact and extremal points. Our method reveals the relation of this problem to the Chebyshev alternance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17191 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Banach-Mazur Ellipse Babev, V. D. Ivanov, M. Nikolov, R. Functional Analysis 46B20, 52A10, 41A50 We provide a new proof of Ader's characterisation of the ellipse of minimal Banach-Mazur distance to the unit circle of a normed plane in terms of contact and extremal points. Our method reveals the relation of this problem to the Chebyshev alternance. |
| title | On the Banach-Mazur Ellipse |
| topic | Functional Analysis 46B20, 52A10, 41A50 |
| url | https://arxiv.org/abs/2602.17191 |