PreprintCC BY 4.0arXiv
On the Banach--Mazur radius of ℓ∞n
Abstract
We prove that any n-dimensional normed space is at Banach--Mazur distance O(n2/3) from ℓ∞n.
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BibTeX
@misc{friedland2026banachmazur,
title = {{On the Banach--Mazur radius of $\ell_\infty^n$}},
author = {Omer Friedland and Assaf Naor and Pierre Youssef},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.21112},
eprint = {2608.21112},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.21112},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the Banach--Mazur radius of ℓ_∞^n
AU - Omer Friedland
AU - Assaf Naor
AU - Pierre Youssef
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2608.21112
UR - https://arxiv.org/abs/2608.21112
AB - We prove that any n-dimensional normed space is at Banach--Mazur distance O(n^2/3) from ℓ_∞^n.
ER -