Inequalities related to Heinz mean

DOI10.1080/03081087.2015.1106435zbMath1350.15009OpenAlexW1913717454MaRDI QIDQ5741228

Mohammad Alakhrass

Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1106435

zbMATH Keywords

singular valuesinequalities involving matricespositive matricesnormal matricesunitarily invariant normHeinz mean

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Means (26E60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

New Hilbert-Schmidt norm inequalities for positive semidefinite matrices ⋮ Remarks on a question of Bourin for positive semidefinite matrices ⋮ Functional inequalities for positive matrices ⋮ Norm inequalities for positive semidefinite matrices and a question of Bourin. III

Cites Work

• Norm inequalities related to operator monotone functions
• MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES
• Lieb-Thirring trace inequalities and a question of Bourin
• Trace inequalities for products of positive definite matrices

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