Computing Borel complexity of some geometrical properties in Banach spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912702532681728 |
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| author | López-Pérez, Ginés Vañó, Esteban Martínez Zoca, Abraham Rueda |
| author_facet | López-Pérez, Ginés Vañó, Esteban Martínez Zoca, Abraham Rueda |
| contents | We compute the Borel complexity of some classes of Banach spaces such as different versions of diameter two properties, spaces satisfying the Daugavet equation or spaces with an octahedral norm. In most of the above cases our computation is even optimal, which completes the research done during the last years around this topic for isomorphism classes of Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing Borel complexity of some geometrical properties in Banach spaces López-Pérez, Ginés Vañó, Esteban Martínez Zoca, Abraham Rueda Functional Analysis 46B20, 54E52 We compute the Borel complexity of some classes of Banach spaces such as different versions of diameter two properties, spaces satisfying the Daugavet equation or spaces with an octahedral norm. In most of the above cases our computation is even optimal, which completes the research done during the last years around this topic for isomorphism classes of Banach spaces. |
| title | Computing Borel complexity of some geometrical properties in Banach spaces |
| topic | Functional Analysis 46B20, 54E52 |
| url | https://arxiv.org/abs/2404.19457 |