Rearrangement inequalities for Hermitian matrices

DOI10.1016/j.laa.2010.08.043zbMath1210.15022OpenAlexW2005539171MaRDI QIDQ616279

Yan Lin, Kai-Yuan Cai, Lin Tie

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.043

zbMATH Keywords

Hermitian matricesHadamard producttracedeterminantKronecker productpermanentHardy-Littlewood-Pólya rearrangement inequality

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Multilinear algebra, tensor calculus (15A69)

Related Items (7)

Continuity of positive nonlinear maps between $C^*$-algebras ⋮ Circular rearrangement inequality ⋮ A root locus approach to near-controllability of a class of discrete-time bilinear systems with applications to Hermitian matrices ⋮ On rearrangement inequalities for multiple sequences ⋮ Non-linear positive maps between C*-algebras ⋮ Inequalities regarding partial trace and partial determinant ⋮ Hlawka-Popoviciu inequalities on positive definite tensors

Cites Work

• Unnamed Item
• Unnamed Item
• Stochastic rearrangement inequalities
• A representation theorem for (tr \(A^ p)^{1/p}\)
• Inequalities for monotonic arrangements of eigenvalues
• Rearrangement inequalities for functionals with monotone integrands
• Matrix Analysis
• Inequalities: theory of majorization and its applications

This page was built for publication: Rearrangement inequalities for Hermitian matrices