A Pythagorean theorem for partitioned matrices

DOI10.1090/proc/15677zbMATH Open1547.15017WikidataQ114094194 ScholiaQ114094194MaRDI QIDQ6602140

Jean-Christophe Bourin, Eun-Young Lee

Publication date: 11 September 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

matrix inequalitiesfunctional calculuspartitioned matrices

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) 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)

Cites Work

• Direct sums of positive semi-definite matrices
• Eigenvalue inequalities for convex and log-convex functions
• Convex and concave functions of singular values of matrix sums
• Norm inequalities for partitioned operators and an application
• Pinching, Trimming, Truncating, and Averaging of Matrices
• Unitary orbits of Hermitian operators with convex or concave functions
• The Sharp Rado Theorem for Majorizations

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