Nearby in the stack

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

2501.13524Jan 23, 2025

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

Jesús Suárez

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.

Briefing

What this paper is actually doing

This is a heuristic sketch from the abstract. Sign in for a live briefing.

We give the first example of a nontrivial twisted Hilbert space that satisfies the Johnson-Lindenstrauss lemma. This space has no unconditional basis.

GraduateNovelty 3/5

Researchers working in math.FA and adjacent areas.

Claims

The paper addresses: A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma.
We give the first example of a nontrivial twisted Hilbert space that satisfies the Johnson-Lindenstrauss lemma.