On linear preservers of normal maps

DOI10.1016/j.laa.2007.04.007zbMath1139.06010OpenAlexW2171292847MaRDI QIDQ996227

Marek Niezgoda

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.04.007

zbMATH Keywords

eigenvaluelinear preservergroup majorizationfinite reflection groupsingular valueGIC ordering

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

Complements to some results on eigenvalues and singular values of matrices ⋮ Bijective maps of infinite triangular and unitriangular matrices preserving commutators

Cites Work

• Unnamed Item
• G-majorization, group-induced cone orderings, and reflection groups
• Linear transformations that preserve majorization, Schur concavity, and exchangeability
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• \(G\)-majorization inequalities for linear maps
• Reflection groups, generalized Schur functions, and the geometry of majorization
• Group majorization and Schur type inequalities
• Convex analysis on Cartan subspaces.
• G-majorization with applications to matrix orderings
• Linear Preserver Problems
• Group Invariance and Convex Matrix Analysis
• Inequalities: theory of majorization and its applications
• Linear maps preserving group majorization

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