A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912201134047232 |
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| author | Suárez, Jesús |
| author_facet | Suárez, Jesús |
| contents | We give the first example of a nontrivial twisted Hilbert space that satisfies the Johnson-Lindenstrauss lemma. This space has no unconditional basis. We also show that such a space gives a partial answer to a question of Mascioni. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13524 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma Suárez, Jesús Functional Analysis 46B20, 46B06 We give the first example of a nontrivial twisted Hilbert space that satisfies the Johnson-Lindenstrauss lemma. This space has no unconditional basis. We also show that such a space gives a partial answer to a question of Mascioni. |
| title | A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma |
| topic | Functional Analysis 46B20, 46B06 |
| url | https://arxiv.org/abs/2501.13524 |