Generalized Schur-concave Functions and Eaton Triples

DOI10.1080/03081080290019612zbMath1003.15016OpenAlexW2061870781MaRDI QIDQ4542114

Tin-Yau Tam

Publication date: 2 February 2003

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

Full work available at URL: http://taylorandfrancis.metapress.com/openurl.asp?genre=article&issn=0308-1087&volume=50&issue=2&spage=113

zbMATH Keywords

Weyl groupinner product spacereductive Lie groupEaton triplefinite reflection groupcompact Lie groupclosed convex conereduced triple\(G\)-concave functiongeneralized Schur-concave functionsmatrix examples

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Miscellaneous inequalities involving matrices (15A45) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Unnamed Item, Von Neumann-Davis type theorems for HLPK and Sherman functionals on Eaton triples, Smooth inequality measurement: approximation theorems

Cites Work

• G-majorization, group-induced cone orderings, and reflection groups
• Reflection groups, generalized Schur functions, and the geometry of majorization
• Group majorization, the convex hulls of sets of matrices, and the diagonal element - singular value inequalities
• Group majorization and Schur type inequalities
• Convex analysis on Cartan subspaces.
• G-majorization with applications to matrix orderings
• Kostant's convexity theorem and the compact classical groups
• Group majorization, eaton triples and numerical range^∗
• Inequalities: theory of majorization and its applications
• On \(G\)-invariant norms
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