A note on additive mappings decreasing rank one
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Publication:2369040
DOI10.1016/j.laa.2005.10.033zbMath1091.15003OpenAlexW2028562224MaRDI QIDQ2369040
Publication date: 28 April 2006
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.033
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear transformations, semilinear transformations (15A04) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (3)
Additive preservers of non-zero decomposable tensors ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices ⋮ Additive decomposability preservers and related results on tensor products of 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
- Maps on simple algebras preserving zero products. I: The associative case
- Additive rank-one preserving mappings on triangular matrix algebras
- Additive mappings decreasing rank one
- Additive rank-1 preservers between Hermitian matrix spaces and applications
- Additive rank-one preserving surjections on symmetric matrix spaces
- Additive mappings preserving operators of rank one
- Additive rank-one preservers on block triangular matrix spaces
- Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
- Additive rank-one preservers between spaces of rectangular matrices
- Coherence Invariant Mappings on Kronecker Products
- Rank-preserving linear maps on B(X)
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