Additive rank-one preservers between spaces of rectangular matrices
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Publication:5317720
DOI10.1080/03081080500092349zbMath1077.15002OpenAlexW2032081113MaRDI QIDQ5317720
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
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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