Ando-Hiai and Golden-Thompson inequalities

DOI10.1007/s13398-021-01140-1OpenAlexW3205057397MaRDI QIDQ2240630

Hamid Reza Moradi, Mohammad S. Sababheh

Publication date: 4 November 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10893

zbMATH Keywords

operator monotone functionGolden-Thompson inequalityAndo-Hiai inequalityPólya-Szegö inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functional calculus for linear operators (47A60) General theory of (C^*)-algebras (46L05)

Cites Work

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• Operator log-convex functions and operator means
• Convexity and matrix means
• Reverses of the Golden-Thompson type inequalities due to Ando-Hiai-Petz
• The Golden-Thompson trace inequality is complemented
• Means of positive linear operators
• Log majorization and complementary Golden-Thompson type inequalities
• More accurate operator means inequalities
• A complement of the Ando-Hiai inequality and norm inequalities for the geometric mean
• Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities
• New sharp inequalities for operator means
• Ando–Hiai-type inequalities for operator means and operator perspectives
• The Golden-Thompson inequality: Historical aspects and random matrix applications

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