Minimal projections onto some subspaces of \(\ell_1^{(n)}\)
type: Item
instance of: scholarly article
title: Minimal projections onto some subspaces of \(\ell_1^{(n)}\)
zbMATH Open document ID: 0922.46008
author: B. L. Chalmers
author: Grzegorz Lewicki
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 1999-10-14T00:00:00Z
review text: Let \(P(X,V)\) be the set of all projections from the Banach space \(X\) onto its subspace \(V\). Let \[ \lambda(V,X)= \inf\{\| P\|: P\in P(X,V)\}\quad\text{and} \quad \lambda(V)= \sup\{\lambda(V,X): V\subset X\}. \] In this note, the authors calculate the norm of minimal projections \(\| P\|= \lambda(V,X)\) when \(X= \ell^{(n)}_1\) and \(V\) some symmetric subspace.
reviewed by: Bolis Basit
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B07
zbMATH DE Number: 1251473
zbMATH Keywords: norm of minimal projections
zbMATH Keywords: symmetric subspace
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1251473