Remarks on two recent results of Audenaert

DOI10.1016/j.laa.2015.10.002zbMath1326.15033OpenAlexW2213619771MaRDI QIDQ891523

Minghua Lin

Publication date: 17 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.10.002

zbMATH Keywords

norm inequalitypositive partial transpose

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (20)

Generalizing the Ando-Hiai inequality for sectorial matrices ⋮ Norm inequalities related to the arithmetic-geometric mean inequalities for positive semidefinite matrices ⋮ Unification of the arithmetic-geometric mean and Hölder inequalities for unitarily invariant norms ⋮ A Hilbert-Schmidt norm inequality for positive semidefinite matrices related to a question of Bourin ⋮ A note on Audenaert interpolation inequality ⋮ On norm inequalities related to the geometric mean ⋮ New Hilbert-Schmidt norm inequalities for positive semidefinite matrices ⋮ Norm inequalities for positive definite matrices related to a question of Bourin ⋮ Norm inequalities for positive semidefinite matrices and a question of Bourin ⋮ Remarks on some norm inequalities for positive semidefinite matrices and questions of Bourin ⋮ Remarks on a question of Bourin for positive semidefinite matrices ⋮ Interpolating inequalities related to a recent result of Audenaert ⋮ On submajorization inequalities for matrices of measurable operators ⋮ Some refinements for the arithmetic-geometric mean and Cauchy-Schwarz matrix norm interpolating inequalities ⋮ Interpolating inequalities for functions of positive semidefinite matrices ⋮ Notes on two recent results of Audenaert ⋮ Geometry and inequalities of geometric mean ⋮ New proofs on two recent inequalities for unitarily invariant norms ⋮ A note on "Remarks on some inequalities for positive semidefinite matrices and questions for Bourin" ⋮ Norm inequalities for positive semi-definite matrices and a question of Bourin II

Cites Work

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• Norm inequalities related to the matrix geometric mean
• Some inequalities for norms on matrices and operators
• Inequalities related to 2 ✕ 2 block PPT matrices
• TRACE INEQUALITIES AND A QUESTION OF BOURIN
• A norm inequality for pairs of commuting positive semidefinite matrices
• Generalizations of Ky Fan's Dominance Theorem
• CLARKSON INEQUALITIES WITH SEVERAL OPERATORS
• Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities
• MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES
• Matrix inequalities

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