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A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma
Jesús Suárez
Results in Mathematics (2019) 74:126
arXiv: 2501.13524v1 - DOI (math.FA)
License: CC BY-NC-ND 4.0
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.
Submitted to arXiv on 23 Jan. 2025