Eigenvalue inequalities for convex and log-convex functions

DOI10.1016/j.laa.2006.02.027zbMath1132.15015arXivmath/0601757OpenAlexW2093886505MaRDI QIDQ884407

Jaspal Singh Aujla, Jean-Christophe Bourin

Publication date: 6 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0601757

zbMATH Keywords

eigenvaluesconvex functionHermitian matrixmajorizationunital positive linear mapweak log-submajorization

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Convexity of real functions in one variable, generalizations (26A51)

Related Items (29)

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Cites Work

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• A concavity inequality for symmetric norms
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Weak majorization inequalities and convex functions
• Notes on matrix arithmetic-geometric mean inequalities
• Some Norm Inequalities for Completely Monotone Functions
• A Note on the Hadamard Product
• On the Singular Values of a Product of Operators
• Convexity or concavity inequalities for Hermitian operators
• Positive Functions on C ∗ -Algebras

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