Some means inequalities for positive operators in Hilbert spaces

DOI10.1186/s13660-016-1283-xzbMath1385.47010OpenAlexW2571431830WikidataQ41080644 ScholiaQ41080644MaRDI QIDQ504556

Guanghua Shi, Jin Liang

Publication date: 17 January 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1283-x

zbMATH Keywords

Hilbert spacepositive linear operatorsmeans inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Means (26E60) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (3)

Unnamed Item ⋮ Unnamed Item ⋮ Generalization of Heinz operator inequalities via hyperbolic functions

Cites Work

• Recent developments of matrix versions of the arithmetic-geometric mean inequality
• Improved Heinz inequalities via the Jensen functional
• Regular operator mappings and multivariate geometric means
• Means of positive linear operators
• A family of refinements of Heinz inequalities of matrices
• Some inequalities of operator monotone functions
• Refinements of the Heinz operator inequalities
• Improved reverse arithmetic-geometric means inequalities for positive operators on Hilbert space
• Tracial and majorisation Heinz mean-type inequalities for matrices
• Reverses of Young and Heinz inequalities for positive linear operators

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