Inequalities involving unitarily invariant norms and operator monotone functions

DOI10.1016/S0024-3795(01)00353-6zbMath0994.15024MaRDI QIDQ5957190

Xingzhi Zhan, Fumio Hiai

Publication date: 10 October 2002

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

zbMATH Keywords

monotonicityconvexitynorm inequalityHölder inequalityCauchy-Schwarz inequalityoperator monotone functionsSchatten normsunitarily invariant norms

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) Miscellaneous inequalities involving matrices (15A45)

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Cites Work

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• Cauchy-Schwarz inequalities associated with positive semidefinite matrices
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• Inequalities for C-S seminorms and Lieb functions
• A Cauchy-Schwarz inequality for operators with applications
• Norm inequalities related to operator monotone functions
• Generalization of the Cauchy-Schwarz inequality
• Remark on a recent generalization of the Cauchy-Schwarz inequality
• Norms and inequalities for condition numbers
• An Analog of the Cauchy–Schwarz Inequality for Hadamard Products and Unitarily Invariant Norms
• Hölder type inequalities for matrices

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