Mappings preserving spectrum and commutativity on Hermitian matrices

DOI10.1016/S0024-3795(98)10225-2zbMath0930.15027OpenAlexW2074708461MaRDI QIDQ1300905

Tatjana Petek

Publication date: 6 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10225-2

zbMATH Keywords

Hermitian matrixcontinuous mappingscommutativity preserving mappingspectrum of matrixspectrum preserving mapping

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)

Related Items (7)

Maps on matrix spaces ⋮ Preserving zeros of Lie product on alternate matrices ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Spectrum and commutativity preserving mappings on triangular matrices ⋮ Hua's fundamental theorems of the geometry of matrices and related results ⋮ On Hua's fundamental theorem of the geometry of rectangular matrices ⋮ Spectrum and commutativity preserving mappings on \(H _{2}\)

Cites Work

• Linear preserver problems: A brief introduction and some special techniques
• Characterization of Jordan homomorphism on \(M_ n\) using preserving properties
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