Additive rank-one preservers between spaces of rectangular matrices

DOI10.1080/03081080500092349zbMath1077.15002OpenAlexW2032081113MaRDI QIDQ5317720

Xian Zhang, Nung-Sing Sze

Publication date: 21 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500092349

zbMATH Keywords

additive preservermatrix spacerank one

Mathematics Subject Classification ID

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

Related Items (7)

A note on additive mappings decreasing rank one ⋮ Surjective Additive Rank-1 Preservers on Hessenberg Matrices ⋮ Additive preservers of non-zero decomposable tensors ⋮ Additive rank-1 preservers between spaces of Hermitian matrices ⋮ Additive decomposability preservers and related results on tensor products of matrices ⋮ Additive adjugate-commuting preservers between matrix spaces ⋮ Additive preservers of idempotence and Jordan homorphisms between rings of square matrices

Cites Work

• Linear operators that preserve pairs of matrices which satisfy extreme rank properties -- a supplementary version.
• Additive rank-one preserving mappings on triangular matrix algebras
• Additive mappings decreasing rank one
• On Hua's fundamental theorem of the geometry of rectangular matrices
• Linear transformations between matrix spaces that map one rank specific set into another
• Hua's fundamental theorems of the geometry of matrices and related results
• Additive rank-one preserving surjections on symmetric matrix spaces
• Linear Preserver Problems
• On linear transformations preserving rank one matrices over commutative rings
• Linear transformations on matrices: rank 1 preservers and determinant preservers

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