Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
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Publication:2568375
DOI10.1016/j.laa.2005.06.034zbMath1079.15003OpenAlexW2028604486MaRDI QIDQ2568375
Publication date: 10 October 2005
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2005.06.034
Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (10)
Linear preservers on spaces of Hermitian or real symmetric matrices ⋮ A note on additive mappings decreasing rank one ⋮ Linear maps preserving separability of pure states ⋮ Additive preservers of non-zero decomposable tensors ⋮ Additive rank-1 preservers between spaces of Hermitian matrices ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices ⋮ Additive maps on hermitian matrices ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Mappings that preserve pairs of operators with zero triple Jordan product ⋮ Linear rank one preservers on tensor products of Hermitian matrices
Cites Work
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- Rank-one nonincreasing additive mappings on second symmetric product spaces
- Additive preservers of rank-additivity on matrix spaces
- Additive rank-1 preservers between Hermitian matrix spaces and applications
- Additive rank-one preserving surjections on symmetric matrix spaces
- Linear preservers on spaces of Hermitian or real symmetric matrices
- Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
- Linear transformations on symmetric matrices II
- Linear mappings which are rank-knonincreasing, II
- Rank preservers on spaces of symmetric matrices
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