A weak version of the ε-Dvoretzky conjecture for normed spaces

Abstract We prove a weak version of the ε -Dvoretzky conjecture for normed spaces, showing the existence of a subspace of ℝ n of dimension at least c log n /∣ log ε ∣ in which the given norm is ε -close to a norm obeying a large discrete group of symmetries (“1-unconditional norm”).

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Publication Details

Journal
Israel Journal of Mathematics
Published
2026-04-06
DOI
https://doi.org/10.1007/s11856-026-2911-x
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

A weak version of the ε-Dvoretzky conjecture for normed spaces

Bo’az Klartag, Tomer Novikov
Israel Journal of Mathematics
Advanced Banach Space Theory
article

A weak version of the ε-Dvoretzky conjecture for normed spaces

Bo’az Klartag, Tomer Novikov
article en

Abstract

Abstract We prove a weak version of the ε -Dvoretzky conjecture for normed spaces, showing the existence of a subspace of ℝ n of dimension at least c log n /∣ log ε ∣ in which the given norm is ε -close to a norm obeying a large discrete group of symmetries (“1-unconditional norm”).

Israel Journal of Mathematics
Weizmann Institute of Science (IL)
Reduced inequalities
Openalex Percentile: Top 3%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
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