Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
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Publication:3474770
DOI10.1080/03081089008817975zbMath0697.15005OpenAlexW1987644293MaRDI QIDQ3474770
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Publication date: 1990
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089008817975
Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (14)
Additive mappings on symmetric matrices ⋮ Linear mappings which are rank-knonincreasing, II ⋮ Linear transformations on symmetric matrices II ⋮ Chapter 2:rank and tensor rank ⋮ Linear preservers of decomposable tensors ⋮ Linear preservers on powers of matrices ⋮ Linear preservers of decomposable symmetric tensors ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices ⋮ Linear preservers of orthogonal decomposable Tensors ⋮ Preservers of completely positive matrix rank ⋮ Rank-one nonincreasing additive mappings on second symmetric product spaces ⋮ Additive mappings between Hermitian matrix spaces preserving rank not exceeding one ⋮ Linear spaces and preservers of symmetric matrices of bounded rank-two ⋮ Linear \(k\)-power/\(k\)-potent preservers between matrix spaces
Cites Work
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- Transformations on tensor product spaces
- Linear transformations preserving sets of ranks
- Automorphisms of \(\det (X_{ij}):\) The group scheme approach
- Transformations on tensor spaces
- Linear transformations on matrices: The invariance of rank \(k\) matrices
- Transformations of symmetric tensors
- Linear maps preserving rank less than or equal to one
- Linear mappings on symmetry classes of tensors
- Linear transformations on symmetric matrices
- Linear Transformations on Grassmann Spaces III
- Linear Transformations on Grassmann Spaces
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