On some inequalities with matrix means

DOI10.1080/03081087.2015.1010472zbMath1334.15087OpenAlexW2121879627MaRDI QIDQ3455689

Xiaohui Fu, Dinh Trung Hoa

Publication date: 11 December 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1010472

zbMATH Keywords

positive definite matricespositive linear mapsoperator means

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (5)

An extension of the Pólya-Szegő operator inequality ⋮ Some operator inequalities involving operator means and positive linear maps ⋮ Refinements of a reversed AM–GM operator inequality ⋮ Some operator inequalities for operator means and positive linear maps ⋮ Extension of the Kantorovich inequality for positive multilinear mappings

Cites Work

• Some operator monotone functions
• Means of positive linear operators
• On an operator Kantorovich inequality for positive linear maps
• Norm inequalities related to operator monotone functions
• Notes on matrix arithmetic-geometric mean inequalities
• Some operator inequalities for positive linear maps
• Squaring a reverse AM-GM inequality

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