Linear map preserving the right spectrum of quaternion matrices

DOI10.1007/s00006-018-0905-4zbMath1402.15003OpenAlexW2890993879MaRDI QIDQ1990562

Geng Yuan, Deyu Duan, Xiang Gong, FaHui Zhai

Publication date: 25 October 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0905-4

zbMATH Keywords

quaternion matrixright spectrumlinear preserving map

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Cites Work

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• Maps on matrices that preserve the spectrum
• A note on spectrum-preserving maps
• A survey of invertibility and spectrum preserving linear maps
• Spectrum-preserving linear maps
• Linear preserver problems: A brief introduction and some special techniques
• The spectral theorem in quaternions
• Sur une généralisation du groupe orthogonal à quatre variables
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Linear Transformations on Algebras of Matrices
• Linear transformations on matrices
• Quaternions and matrices of quaternions

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