Isometries of symmetric gauge functions

DOI10.1080/03081089108818091zbMath0736.15012OpenAlexW2013361503MaRDI QIDQ3981256

Chi-Kwong Li, Leiba Rodman, Dragomir Ž. Djoković

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1080/03081089108818091

zbMATH Keywords

normLie groupsisometry groupquaternionsreflection groupspermutation matricessymmetric gauge function

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Lie algebras of linear algebraic groups (17B45)

Related Items (9)

A new class of normed spaces with nontrivial groups of isometries and some estimates for operators with given action ⋮ Finite reflection groups and linear preserver problems ⋮ Some aspects of the theory of norms ⋮ Minimal symmetric factorizations of symmetric real and complex rational matrix functions ⋮ \(G\)-invariant norms and bicircular projections ⋮ Norms induced by symmetric guage functions ⋮ Isometries for the induced \(c\)-norm on square matrices and some related results ⋮ Jordan triple endomorphisms and isometries of spaces of positive definite matrices ⋮ Contractive projections and isometries in sequence spaces

Cites Work

• G-invariant norms and G(c)-radii
• Bounded groups and norm-Hermitian matrices
• Linear operators preserving unitarily invariant norms of matrices
• Subgroups of Compact Lie Groups Containing a Maximal Torus are Closed
• Connections between finite linear groups and linear algebra
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