A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma
Functional Analysis
2025-01-24 v1
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.
Keywords
Cite
@article{arxiv.2501.13524,
title = {A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma},
author = {Jesús Suárez},
journal= {arXiv preprint arXiv:2501.13524},
year = {2025}
}