Almost Euclidean planes in \(\ell_p^n\)
type: Item
instance of: scholarly article
title: Almost Euclidean planes in \(\ell_p^n\)
zbMATH Open document ID: 0920.46007
DOI: 10.1007/BF02465761
publication date: 1999-09-16T00:00:00Z
review text: The paper is devoted to the following question: Let \(p\) be an even positive integer, \(n\in\mathbb{N}\) be such that \(2\leq n\leq p/2\). What is the minimal possible Banach-Mazur distance between \(\ell^2_2\) and two-dimensional subspaces of \(\ell^n_p\)? The authors announce some estimates of this quantity from below and from above.
Mathematics Subject Classification ID: 46B07
Mathematics Subject Classification ID: 52A21
zbMATH DE Number: 1205910
zbMATH Keywords: Euclidean plane
zbMATH Keywords: Dvoretzky theorem
zbMATH Keywords: minimal possible Banach-Mazur distance
author: Yu. I. Lubich
author: Oksana A. Shatalova
reviewed by: Mikhail Ostrovskii
MaRDI profile type: Publication
cites work: Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs
cites work: Isometric embeddings and geometric designs
full work available at URL: https://doi.org/10.1007/bf02465761
OpenAlex ID: W2088189174
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1205910