A unified treatment of certain majorization results on eigenvalues and singular values of matrices

DOI10.1515/FORUM.2009.015zbMath1163.15020MaRDI QIDQ3617653

Marek Niezgoda

Publication date: 30 March 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

eigenvaluessingular valuesgroup majorizationmajorizationnormal mapcone orderingsnormal decomposition system

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

Related Items (1)

Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras

Cites Work

• Group-invariant analogues of Hadamard's inequality
• Inequalities on the singular values of an off-diagonal block of a Hermitian matrix
• Convex analysis on Cartan subspaces.
• Lidskii's Theorem via Nonsmooth Analysis
• Unnamed Item

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