Shifts with weights of polynomial growth are hyper-reflexive
type: Item
instance of: scholarly article
title: Shifts with weights of polynomial growth are hyper-reflexive
zbMATH Open document ID: 1053.47027
author: Xavier Dussau
published in: Archiv der Mathematik
publication date: 2003-07-08T00:00:00Z
review text: It is proved that the bilateral shift acting on the space \(\ell_{\omega}^{2}(\mathbb Z)\) is hyper-reflexive if the weight sequence satisfies the condition \(1\leq\omega(n)\leq C(1+| n| )^{\alpha}\) for all \(n\in \mathbb Z\).
reviewed by: Vladimir S. Pilidi
Mathematics Subject Classification ID: 47B37
Mathematics Subject Classification ID: 47A15
zbMATH DE Number: 1947302
zbMATH Keywords: shift operator
zbMATH Keywords: weighted space
zbMATH Keywords: hyperreflexivity
zbMATH Keywords: invariant subspace
MaRDI profile type: Publication
full work available at URL: s000130300007
OpenAlex ID: W2069932774
DOI: 10.1007/S000130300007
description: scientific article; zbMATH DE number 1947302