Linear operators on matrices: The invariance of rank-k matrices
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Publication:5925257
DOI10.1016/0024-3795(90)90248-BzbMath0721.15006OpenAlexW4246154088MaRDI QIDQ5925257
Leroy B. Beasley, Thomas J. Laffey
Publication date: 1990
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(90)90248-b
Related Items (14)
Finite determinacy of matrices over local rings. tangent modules to the miniversal deformation for \(R\)-linear group actions ⋮ Linear operators preserving certain singular matrix sets ⋮ On linear preservers of permanental rank ⋮ Chapter 2:rank and tensor rank ⋮ A note on preserving the spark of a matrix ⋮ Linear preservers of decomposable tensors ⋮ Linear preservers of matrices of rank-2 ⋮ Linear preservers for Sylvester and Frobenius bounds on matrix rank ⋮ Linear spaces of Toeplitz and nilpotent matrices ⋮ Subspaces of matrices with special rank properties ⋮ Spaces of \(p\)-vectors of bounded rank ⋮ Unnamed Item ⋮ Characterizing operations preserving separability measures via linear preserver problems ⋮ Overgroups of some classical linear groups with applications to linear preserver problems
Cites Work
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- Rank \(k\)-preservers and preservers of sets of ranks
- Transformations on tensor product spaces
- Linear transformations which preserve fixed rank
- Transformations on tensor spaces
- Linear transformations of tensor products preserving a fixed rank
- Linear transformations on matrices: The invariance of rank \(k\) matrices
- Linear Transformations on Algebras of Matrices
- Spaces of matrices of fixed rank
- Linear transformations on matrices: rank preservers and determinant preservers (Note)
- LARGE SPACES OF MATRICES OF BOUNDED RANK
- Linear operators on matrices: The invariance of rank-k matrices
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