Inequalities for C-S seminorms and Lieb functions

DOI10.1016/S0024-3795(98)10245-8zbMath0932.15015MaRDI QIDQ1300849

Roger A. Horn, Xingzhi Zhan

Publication date: 2 March 2000

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

zbMATH Keywords

inequalitiesunitarily invariant normsCauchy-Schwarz seminormLieb class

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (16)

Hölder-type inequalities of measurable operators ⋮ Unification of the arithmetic-geometric mean and Hölder inequalities for unitarily invariant norms ⋮ Hölder-type inequalities involving unitarily invariant norms ⋮ Operator inequalities of Hölder type for unitarily invariant norms ⋮ A generalized arithmetic-geometric mean-type inequality of measurable operator ⋮ Unitarily invariant norm inequalities for operators ⋮ Matrix inequalities related to Hölder inequality ⋮ Further interpolation inequalities related to arithmetic-geometric mean, Cauchy-Schwarz and Hölder inequalities for unitarily invariant norms ⋮ Lieb functions and \(m\)-positivity of norms ⋮ Norm inequalities for sums of positive operators. II ⋮ Inequalities involving unitarily invariant norms and operator monotone functions ⋮ New proofs on two recent inequalities for unitarily invariant norms ⋮ A generalized Hölder-type inequality for measurable operators ⋮ Some norm inequalities for operators ⋮ Some research problems on the hadamard product and singular values of matrices ⋮ Further norm inequalities for sums of operators

Cites Work

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• Cauchy-Schwarz inequalities associated with positive semidefinite matrices
• A representation theorem for (tr \(A^ p)^{1/p}\)
• Inequalities for some operator and matrix functions
• Convex and concave functions of singular values of matrix sums
• Norm inequalities for fractional powers of positive operators
• A Cauchy-Schwarz inequality for operators with applications
• An Analog of the Cauchy–Schwarz Inequality for Hadamard Products and Unitarily Invariant Norms
• Another proof of a singular value inequality concerning Hadamard products of matrices
• Exremal Problems for Hölder Norms of Matrices and Realization of Linear Systems

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