Spectrum and commutativity preserving mappings on triangular matrices

DOI10.1016/S0024-3795(02)00368-3zbMath1016.15025MaRDI QIDQ1855409

Tatjana Petek

Publication date: 5 February 2003

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

zbMATH Keywords

triangular matricescommutativity preserving mappingspectrum preserving mapping

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Maps on matrix spaces ⋮ Some linear preserver problems on block triangular matrix algebras ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices

Cites Work

• Unnamed Item
• A problem on conjugacy of matrices
• Mappings preserving spectrum and commutativity on Hermitian matrices
• Characterization of Jordan homomorphism on \(M_ n\) using preserving properties
• Linear preservers on triangular matrices
• A note on algebra automorphisms of strictly upper triangular matrices over commutative rings
• Additive rank-one preserving mappings on triangular matrix algebras
• Jordan isomorphisms of triangular matrix algebras over a connected commutative ring
• Some linear preserver problems on upper triangular matrices

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