Polylog Dimensional Subspaces of $$\ell _\infty ^N$$

DOI10.1007/978-3-030-46762-3_15zbMath1461.46008arXiv1812.03678OpenAlexW2913934338MaRDI QIDQ5115974

Gideon Schechtman, Nicole Tomczak-Jaegermann

Publication date: 21 August 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03678

zbMATH Keywords

cotypedichotomy problem\( \ell_\infty^N\)

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Cites Work

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• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Bounded orthogonal systems and the \(\Lambda\) (p)-set problem
• Computing 2-summing norm with few vectors
• Large subspaces of \(\ell^n_\infty\) and estimates of the Gordon-Lewis constant
• Uniformly non-square Banach spaces
• Relations between some constants associated with finite dimensional Banach spaces
• Euclidean Sections of Convex Bodies

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