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arXiv · 2501.13524

A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma

Jesús Suárez
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Abstract

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.

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Jesús Suárez. 2025-01-23. A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma. https://doi.org/10.1007/s00025-019-1047-2

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