Overgroups of some classical linear groups with applications to linear preserver problems

DOI10.1016/0024-3795(94)90480-4zbMath0793.15018OpenAlexW2072705636MaRDI QIDQ1319979

Chi-Kwong Li, Dragomir Ž. Djoković

Publication date: 16 May 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90480-4

zbMATH Keywords

subgroupslinear preserverclassical linear groups

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Linear transformations, semilinear transformations (15A04)

Related Items

Invertible preservers and algebraic groups, Linear preserver problems and algebraic groups, \(G\)-invariant norms and bicircular projections, Distances between the graphs of matrices, On isometry groups of self-adjoint traceless and skew-symmetric matrices, Linear maps preserving orbits, Induced operators on symmetry classes of tensors, Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSL_n(F), Invertible preservers and algebraic groups III: preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups^∗, Isometries for unitarily invariant norms, Singular tuples of matrices is not a null cone (and the symmetries of algebraic varieties), On square roots of isometries, Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers, Some general techniques on linear preserver problems

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