A solution to the polarization problem
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910267055538176 |
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| author | Martínez, Ángel D. Ortega-Moreno, Oscar |
| author_facet | Martínez, Ángel D. Ortega-Moreno, Oscar |
| contents | In this paper we solve the polarization problem for real Hilbert spaces, a long-standing conjecture that had remained open for nearly three decades. We also confirm that the only extremal configurations are orthonormal sets. These are consequences of our proof of a stronger statement conjectured by Ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28744 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A solution to the polarization problem Martínez, Ángel D. Ortega-Moreno, Oscar Functional Analysis Classical Analysis and ODEs Metric Geometry 46-XX In this paper we solve the polarization problem for real Hilbert spaces, a long-standing conjecture that had remained open for nearly three decades. We also confirm that the only extremal configurations are orthonormal sets. These are consequences of our proof of a stronger statement conjectured by Ball. |
| title | A solution to the polarization problem |
| topic | Functional Analysis Classical Analysis and ODEs Metric Geometry 46-XX |
| url | https://arxiv.org/abs/2605.28744 |