On the Banach--Mazur radius of $\ell_\infty^n$

Published 21 Aug 2026 in math.MG and math.FA | (2608.21112v1)

Abstract: We prove that any $n$ -dimensional normed space is at Banach--Mazur distance $O(n<sup>{2/3})$ from $\ell_\infty<sup>n$ .

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On the Banach--Mazur radius of ℓ∞n\ell_\infty^nℓ∞n​