Invertible preservers and algebraic groups III: preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups∗

DOI10.1080/03081089708818528zbMath0889.20027OpenAlexW1978904613MaRDI QIDQ4376563

Chi-Kwong Li, Robert M. Guralnick

Publication date: 24 June 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818528

zbMATH Keywords

linear preserverssimilarity orbitsgroups of unitary operatorsinvertible linear mapsovergroups of unitary groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear transformations, semilinear transformations (15A04)

Related Items

Preservers of unitary similarity functions on Lie products of matrices ⋮ Generalized circular projections ⋮ Multiplicative Preservers of C-Numerical Ranges and Radii ⋮ \(G\)-invariant norms and bicircular projections ⋮ Preservers of restricted unitary orbits of projections ⋮ On isometry groups of self-adjoint traceless and skew-symmetric matrices ⋮ Linear maps preserving orbits ⋮ Decomposable numerical ranges on orthonormal tensors ⋮ Induced operators on symmetry classes of tensors ⋮ On certain generalized isometries of the special orthogonal group ⋮ Linear operators preserving decomposable numerical radii on orthonormal tensors ⋮ Isometries for unitarily invariant norms ⋮ Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers

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