A trace class operator inequality
type: Item
instance of: scholarly article
title: A trace class operator inequality
zbMATH Open document ID: 1114.47020
author: Lei Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-12T00:00:00Z
review text: The author extends the trace inequality \(\text{tr}[(AB)^n]\leq(\text{tr\,}A)^n (\text{tr\,}B)^n\), \(\forall n\in\mathbb{N}\), known for positive semidefinite matrices, to positive trace class Hilbert space operators \(A,B\). The proof is based on simultaneous approximation of \(A\) and \(B\) by finite-dimensional operators.
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 5124046
zbMATH Keywords: Hilbert space
zbMATH Keywords: positive trace class operator
zbMATH Keywords: inequality
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.04.092
OpenAlex ID: W2164915847
cites work: A matrix trace inequality
cites work: Q3871030
cites work: On matrix trace inequalities and related topics for products of Hermitian matrices
cites work: A matrix trace inequality for products of Hermitian matrices
cites work: Q5582606
cites work: Q4702980
DOI: 10.1016/J.JMAA.2006.04.092
description: scientific article; zbMATH DE number 5124046