Characterization of chaotic order and its applications to furuta's type operator inequalities

DOI10.1080/03081089808818535zbMath0908.47014OpenAlexW2068674966MaRDI QIDQ4386112

Eizaburo Kamei, Masatoshi Fujii, Jian-Fei Jiang

Publication date: 26 April 1998

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089808818535

zbMATH Keywords

positive operatorsLöwner-Heinz inequalitychaotic ordergrand Furuta inequalityAndo-Hiai inequalityFuruta's type operator inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)

Related Items

An operator monotone function \(\frac{t\log t-t+1}{\log^2 t}\) and strictly chaotic order

Cites Work

• Furuta's inequality and its application to Ando's theorem
• Log majorization and complementary Golden-Thompson type inequalities
• Characterizations of chaotic order via generalized Furuta inequality
• A proof via operator means of an order preserving inequality
• Über monotone Matrixfunktionen
• Extension of the Furuta inequality and Ando-Hiai log-majorization
• Generalizations of Kosaki trace inequalities and related trace inequalities on chaotic order
• Operator functions associated with Furuta's inequality
• Beiträge zur Störungstheorie der Spektralzerlegung
• Mean theoretic approach to the grand Furuta inequality
• Best possibility of the Furuta inequality
• On some operator inequalities