On sub- and superadditive vector-valued maps with applications to group majorization

DOI10.1016/j.laa.2013.02.011zbMath1281.39030OpenAlexW2056838043MaRDI QIDQ389702

Marek Niezgoda

Publication date: 21 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.02.011

zbMATH Keywords

convex functiongroup majorizationmajorizationpreorderSchur-convex functionadditive mapincreasing mapsubadditive mapsuperadditive map

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Functional inequalities, including subadditivity, convexity, etc. (39B62) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (1)

Shannon like inequalities for \(f\)-connections of positive linear maps and positive operators

Cites Work

• Quasilinearity of some functionals associated with monotonic convex functions
• Cone orderings, group majorizations and similarly separable vectors
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• On new majorization theorems
• G-majorization with applications to matrix orderings
• Sums of powers and majorization
• Inequalities: theory of majorization and its applications
• Linear maps preserving group majorization

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