A strict inequality for projection constants
type: Item
instance of: scholarly article
title: A strict inequality for projection constants
zbMATH Open document ID: 0631.46023
DOI: 10.1016/0022-1236(87)90028-0
author: D. R. Lewis
author: Hermann König
published in: Journal of Functional Analysis
publication date: 1987-01-01T00:00:00Z
review text: An estimate of the projection constant by \(n^{1/2}\) of an n-dimensional normed space E, due to \textit{M. I. Kadeis} and \textit{M. G. Snobar} [Math. Notes 10(1971), 694-696 (1982; Zbl 0232.46027)] is sharpened in this paper. If the projection constant of E is close to \(n^{1/2}\), so is the 1-summing norm of the identity on E.
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 4026108
zbMATH Keywords: strict inequality for projection constants
zbMATH Keywords: Banach-Mazur distance
zbMATH Keywords: 1- summing norm
reviewed by: Jerzy Szulga
MaRDI profile type: Publication
full work available at URL: 0022-1236(87)90028-0
OpenAlex ID: W2079281994
cites work: Relations between some constants associated with finite dimensional Banach spaces
cites work: Some functionals over a compact Minkowski space
cites work: Spaces with large projection constants
cites work: Q4136031
cites work: Q4183861
cites work: Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
description: scientific article; zbMATH DE number 4026108