On \(G\)-invariant norms

DOI10.1016/S0024-3795(01)00270-1zbMath0980.15023OpenAlexW2085754063MaRDI QIDQ5943029

William C. Hill, Yin-Yau Tam

Publication date: 20 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00270-1

zbMATH Keywords

Weyl group\(G\)-invariant normEaton triplefinite reflection groupsemisimple Lie algebra

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (10)

Generalized Schur-concave Functions and Eaton Triples ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Affine images of Riemannian manifolds ⋮ Unnamed Item ⋮ Von Neumann-Davis type theorems for HLPK and Sherman functionals on Eaton triples ⋮ Derivatives of orbital function and an extension of Berezin-Gel'fand's theorem ⋮ An extension of Schur-Ostrowski's condition, weak Eaton triples and generalized AI functions ⋮ Orbital geometry and group majorisation in optimisation ⋮ On the norm property of \(G(c)\)-radii and Eaton triples

Cites Work

• Cauchy-Schwarz inequalities associated with positive semidefinite matrices
• G-invariant norms and G(c)-radii
• Group majorization and Schur type inequalities
• An analytical characterization of effective and of irreducible groups inducing cone orderings
• Norms that are invariant under unitary similarities and theC-numerical radii
• An extension of a result of Lewis
• Group majorization, eaton triples and numerical range^∗
• Group Invariance and Convex Matrix Analysis
• G-Invariant Hermitian Forms and G-Invariant Elliptical Norms
• Introduction to Lie Algebras and Representation Theory
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