Normal-preserving linear transformations

DOI10.1016/0024-3795(92)90413-5zbMath0751.15002OpenAlexW2020621682MaRDI QIDQ1190120

Catherine M. Kunicki, Richard D. Hill

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90413-5

zbMATH Keywords

matrix algebranormal matricesnormal-preserving linear transformations

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (4)

Commutativity-preserving and normal-preserving linear transformations on ⋮ Linear maps preserving C-normal operators ⋮ Invertible preservers and algebraic groups III: preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups^∗ ⋮ On maps preserving zeros of the polynomial \(xy - yx^\ast\)

Cites Work

• On the completely positive and positive-semidefinite-preserving cones
• Commutativity-preserving operators on symmetric matrices
• Normal matrices
• Completely positive and Hermitian-preserving linear transformations
• Linear transformations on symmetric matrices that preserve commutativity
• Completely positive linear maps on complex matrices
• Linear maps that preserve commuting pairs of matrices
• Linear maps preserving commutativity
• Linear transformations which preserve Hermitian and positive semidefinite operators
• Linear transformations which preserve Hermitian matrices
• Matrix Analysis
• Linear transformations on matrices: The invariance of commuting pairs of matrices
• Invariants of linear maps on matrix algebras

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