On classical adjoint-commuting mappings between matrix algebras

DOI10.1016/j.laa.2009.12.001zbMath1191.15021OpenAlexW2016278641MaRDI QIDQ962088

Wei Shean Ng, Wai-Leong Chooi

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.001

zbMATH Keywords

rankpreserver problemclassical adjoint

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86)

Related Items (3)

Classical adjoint-commuting mappings on Hermitian and symmetric matrices ⋮ Classical adjoint commuting and determinant preserving linear maps on Kronecker products of Hermitian matrices ⋮ A note on classical adjoint commuting linear maps of tensor products of matrices

Cites Work

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• Diameter preserving surjections in the geometry of matrices
• Linear preservers on matrices
• On determinant preserver problems
• Some linear preserver problems on block triangular matrix algebras
• Linear operators preserving adjoint matrix between matrix spaces
• Determinant preserving maps on matrix algebras
• Additive rank-1 preservers between Hermitian matrix spaces and applications
• The classical adjoint
• Linear adjugate preservers on the complex matrices
• Additive adjoint preservers between matrix spaces

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