Additive operators preserving rank-additivity on symmetry matrix spaces

DOI10.1007/BF02936102zbMath1048.15004OpenAlexW2033550310MaRDI QIDQ1428991

Xiao Min Tang, Chong Guang Cao

Publication date: 29 March 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02936102

zbMATH Keywords

minus-orderadditive preserver problemrank-additivitysymmetric matric spaces

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Additive rank-1 preservers between spaces of Hermitian matrices ⋮ Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications

Cites Work

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• Spectrum-preserving additive maps
• Enumeration of loopless maps on the projective plane
• Additive mappings preserving operators of rank one
• Additive operators preserving idempotent matrices over fields and applications
• Linear preservers for matrix inequalities and partial orderings
• Modular automorphisms preserving idempotence and Jordan isomorphisms of triangular matrices over commutative rings

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