Linear preservers of rank-sum-maximum, rank, rank-subtractivity, and rank-sum-minimum on symmetric matrices

DOI10.1080/03081080410007177180zbMath1076.15006OpenAlexW1987601433MaRDI QIDQ5462820

Xian Zhang

Publication date: 27 July 2005

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

Full work available at URL: https://doi.org/10.1080/03081080410007177180

zbMATH Keywords

linear preserverrankmatrix pairsymmetric matricesfieldrank-additivityrank-subtractivityrank-sum-maximumrank-sum-minimum

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

Additive mappings on symmetric matrices ⋮ Additive rank-1 preservers between spaces of Hermitian matrices ⋮ Linear/additive preservers of rank 2 on spaces of alternate matrices over fields ⋮ Additive preservers of rank on alternate matrix spaces over fields and applications

Cites Work

• Linear operators that preserve pairs of matrices which satisfy extreme rank properties -- a supplementary version.
• Additive preservers of rank-additivity on the spaces of symmetric and alternate matrices.
• Linear operators that preserve pairs of matrices which satisfy extreme rank properties
• Additive rank-one preserving surjections on symmetric matrix spaces
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear Preserver Problems
• Rank preservers on spaces of symmetric matrices
• Linear preservers for matrix inequalities and partial orderings

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