Best approximation of a nonnormal operator in the trace norm
type: Item
instance of: scholarly article
title: Best approximation of a nonnormal operator in the trace norm
zbMATH Open document ID: 0658.47024
DOI: 10.1016/0022-247X(88)90046-7
author: Richard Bouldin
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The author derives conditions under which a nonnormal operator has a unique positive approximant in trace norm. The author utilizes a result of \textit{T. Ando} [Linear Algebra Appl. 71, 15-21 (1985; Zbl 0577.41016)].
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47L30
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 4075886
zbMATH Keywords: conditions under which a nonnormal operator has a unique positive approximant in trace norm
reviewed by: P. C. Sinha
MaRDI profile type: Publication
cites work: Approximation in trace norm by positive semidefinite matrices
cites work: Approximation by positive operators
cites work: Q5601718
cites work: Best Approximation of a Normal Operator in the Schatten p-Norm
cites work: Q3788564
cites work: Essential Spectrum for a Hilbert Space Operator
cites work: Positive Approximants
cites work: Approximation with restricted spectra
cites work: Q5336643
cites work: Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
cites work: Q5679331
cites work: Spectral approximants of normal operators
cites work: Q3263053
full work available at URL: 0022-247x(88)90046-7
OpenAlex ID: W2038854031
description: scientific article; zbMATH DE number 4075886