Matrix trace inequalities on Tsallis relative entropy of negative order
type: Item
instance of: scholarly article
title: Matrix trace inequalities on Tsallis relative entropy of negative order
zbMATH Open document ID: 1407.15024
author: Yuki Seo
published in: Journal of Mathematical Analysis and Applications
publication date: 2019-02-21T00:00:00Z
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 47A64
Mathematics Subject Classification ID: 47B06
zbMATH DE Number: 7027365
zbMATH Keywords: Tsallis relative entropy
zbMATH Keywords: relative operator entropy
zbMATH Keywords: quasi geometric mean
zbMATH Keywords: positive definite matrix
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.12.005
OpenAlex ID: W2903690575
cites work: Monotonic decrease of the quantum nonadditive divergence by projective measurements
cites work: Log majorization and complementary Golden-Thompson type inequalities
cites work: On an inequality of Lieb and Thirring
cites work: Inequalities for quantum relative entropy
cites work: Q3041790
cites work: Q3477514
cites work: Tsallis relative operator entropy with negative parameters
cites work: Q3622842
cites work: Fundamental properties of Tsallis relative entropy
cites work: A note on operator inequalities of Tsallis relative operator entropy
cites work: Reverse inequalities involving two relative operator entropies and two relative entropies
cites work: Q5450646
cites work: The Golden-Thompson trace inequality is complemented
cites work: Means of positive linear operators
cites work: On Information and Sufficiency
cites work: A representation theorem for (tr \(A^ p)^{1/p}\)
cites work: A note on the entropy for operator algebras
cites work: Q5847989
cites work: Convexity inequalities for estimating free energy and relative entropy
cites work: A Mathematical Theory of Communication
cites work: Conditional expectation in an operator algebra. IV. Entropy and information
cites work: Generalized Shannon inequalities based on Tsallis relative operator entropy
Wikidata QID: Q128699629
DOI: 10.1016/J.JMAA.2018.12.005
description: scientific article; zbMATH DE number 7027365