DETERMINANT AND SPECTRUM PRESERVING MAPS ON Mn

DOI10.11568/kjm.2012.20.3.285OpenAlexW4241892070MaRDI QIDQ5863410

Sang Og Kim

Publication date: 11 March 2022

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2012.20.3.285

zbMATH Keywords

spectrumdeterminantpreserver

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Spectrum-preserving linear maps
• Spectrum-preserving additive maps
• On determinant preserver problems
• Determinant preserving maps on matrix algebras
• Additive rank-one preserving surjections on symmetric matrix spaces
• Additive maps on standard operator algebras preserving invertibilities or zero divisors.
• Additive mappings preserving operators of rank one
• Linear Transformations on Algebras of Matrices
• Spectrum preserving linear mappings in Banach algebras
• When are Multiplicative Mappings Additive?

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