Cone orderings, group majorizations and similarly separable vectors

DOI10.1016/j.laa.2011.07.013zbMath1244.26047OpenAlexW2041804767MaRDI QIDQ649558

Marek Niezgoda

Publication date: 2 December 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.2011.07.013

zbMATH Keywords

majorizationgroup-induced cone ordering\(G\)-majorizationcone orderingsimilarly separable vectorsweak absolute majorization

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inequalities for sums, series and integrals (26D15) Algebraic systems of matrices (15A30) Convexity of real functions of several variables, generalizations (26B25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (3)

On sub- and superadditive vector-valued maps with applications to group majorization ⋮ Generalized doubly stochastic matrices and linear preservers of D-majorization ⋮ Unnamed Item

Cites Work

• Remarks on convex functions and separable sequences. II.
• Majorization and relative concavity
• Bifractional inequalities and convex cones
• Remarks on convex functions and separable sequences
• Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities
• Group majorization and Schur type inequalities
• On new majorization theorems
• A trace inequality with a subtracted term
• Inequalities for convex sequences and their applications
• Sums of powers and majorization
• An Inequality
• Inequalities: theory of majorization and its applications

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