Portraits and perturbations of Hilbert-Schmidt frame sequences
type: Item
instance of: scholarly article
title: Portraits and perturbations of Hilbert-Schmidt frame sequences
zbMATH Open document ID: 1501.42007
author: Yanyan Li
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2022-10-31T00:00:00Z
review text: The authors study perturbations in Hilbert-Schmidt frames (HS-frame). They prove that an arbitrary bounded invertible operator on \(l^2(J)\) transforms a HS-frame into another HS-frame and also present a sufficient condition on bounded operators on \(l^2(J)\) which transform an \(l^2(J)\)-decomposable HS-frame into another HS-frame (HS-Riesz basis, HS-frame sequence and HS-Riesz sequence). They further prove that suitably perturbing a HS-frame sequence (HS-Riesz sequence) leaves a HS-frame sequence (HS-Riesz sequence).
reviewed by: Ghanshyam Bhatt
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 46B15
zbMATH DE Number: 7610167
zbMATH Keywords: frame
zbMATH Keywords: HS-frame
zbMATH Keywords: HS-frame sequence
zbMATH Keywords: HS-Riesz basis
zbMATH Keywords: HS-Riesz sequence
MaRDI profile type: Publication
full work available at URL: s40840-022-01375-0
OpenAlex ID: W4294741234
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DOI: 10.1007/S40840-022-01375-0
description: scientific article; zbMATH DE number 7610167