On reverses of the Golden-Thompson type inequalities

DOI10.7153/jmi-2018-12-23zbMath1456.15020arXiv1708.05951OpenAlexW2963826551WikidataQ129710936 ScholiaQ129710936MaRDI QIDQ4576068

Venus Kaleibary, Shigeru Furuichi, Mohammad Bagher Ghaemi

Publication date: 12 July 2018

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05951

zbMATH Keywords

geometric meanunitarily invariant normGolden-Thompson inequalityAndo-Hiai inequalityeigenvalue inequalityOlson ordergeneralized Kantorovich constantSpecht ratio

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Operator geodesically convex functions and their applications

Cites Work

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• Zur Theorie der elementaren Mittel
• Matrix versions of the Cauchy and Kantorovich inequalities
• Reverses of the Golden-Thompson type inequalities due to Ando-Hiai-Petz
• On a reverse of Ando-Hiai inequality
• Reverse inequality to Golden-Thompson type inequalities: Comparison of \(\text e^{A+B}\) and \(\text e^{A}\text e^{B}\)
• The Golden-Thompson trace inequality is complemented
• Means of positive linear operators
• Log majorization and complementary Golden-Thompson type inequalities
• Some inequalities involving operator monotone functions and operator means
• Eigenvalue inequalities related to the Ando-Hiai inequality
• Alternative reverse inequalities for Young's inequality
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice

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