On triangle inequality for Miranda-Thompson's majorization and gradients of increasing functions

DOI10.1007/s43036-019-00023-yzbMath1440.15013OpenAlexW2997142603MaRDI QIDQ782509

Marek Niezgoda

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-019-00023-y

zbMATH Keywords

gradientspecial orthogonal groupmajorizationsingular valueMiranda-Thompson's majorization

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

A complementary result to the superadditivity of operator means ⋮ On results of Krein, Rao and Lin about angles between vectors in a Hilbert space ⋮ Unnamed Item ⋮ Refinements of triangle-like inequalities in Lie's framework ⋮ Refinements of Ky Fan's eigenvalue inequality for simple Euclidean Jordan algebras by using gradients of K-increasing functions

Cites Work

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• Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities
• Group majorization and Schur type inequalities
• An extension of Schur-Ostrowski's condition, weak Eaton triples and generalized AI functions
• A trace inequality with a subtracted term
• A unified extension of two results of Ky Fan on the sum of matrices
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Inequalities: theory of majorization and its applications
• On the norm property of \(G(c)\)-radii and Eaton triples

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