paper

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

arXiv:2501.13524 · doi:10.1007/s00025-019-1047-2

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.

References in corpus (1)