Matrix inequalities involving a positive linear map

DOI10.1080/03081089608818477zbMath0885.15013OpenAlexW1979925555MaRDI QIDQ3124144

Chi-Kwong Li, Roy Mathias

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1080/03081089608818477

zbMATH Keywords

matrix inequalitiesHermitian matrixpositive linear mapmatrix monotone functionsbounds for the spectrum

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (7)

Strict positivity and D-majorization ⋮ Exponential inequalities for positive linear mappings ⋮ Log-convexity of generalized Kantorovich function ⋮ Operator spectral geometric versus geometric mean ⋮ Operator inequalities associated with \(A\log A\) via Specht ratio. ⋮ A key inequality for functions of matrices ⋮ A matrix reverse Hölder inequality

Cites Work

• On a matrix inequality
• Jensen's inequality for operators and Loewner's theorem
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Inequalities involving powers of generalized inverses
• Inequalities with weights for powers of generalized inverses. II
• A matrix version of the Ky Fan generalization of the kantorovich inequality
• A matrix version of the ky fan generalization of the kantorovich inequality II

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