Linear transformations which preserve or decrease rank
From MaRDI portal
Publication:1123945
DOI10.1016/0024-3795(89)90698-8zbMath0678.15001OpenAlexW2038915807WikidataQ127174107 ScholiaQ127174107MaRDI QIDQ1123945
Publication date: 1989
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(89)90698-8
Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items
Linear preservers of balanced singular inertia classes ⋮ Linear preservers on spaces of Hermitian or real symmetric matrices ⋮ Linear preservers of higher rank numerical ranges and radii ⋮ Chapter 2:rank and tensor rank ⋮ Chapter 3:inertia preservers ⋮ Linear preservers on powers of matrices ⋮ Additive rank-1 preservers between spaces of Hermitian matrices ⋮ Linear preservers of copositive matrices ⋮ Characterizing operations preserving separability measures via linear preserver problems ⋮ Additive rank-one preserving mappings on triangular matrix algebras ⋮ Rank properties of exposed positive maps ⋮ On additive maps preserving certain semi-Fredholm subsets
Cites Work
- Rank \(k\)-preservers and preservers of sets of ranks
- Transformations on tensor product spaces
- Linear transformations preserving sets of ranks
- On the dimension of spaces of linear transformations satisfying rank conditions
- Linear transformations which preserve fixed rank
- Linear maps that preserve singular and nonsingular matrices
- Transformations on tensor spaces
- Linear transformations of tensor products preserving a fixed rank
- Linear transformations on matrices: The invariance of rank \(k\) matrices
- Signature preserving linear maps of Hermitian matrices
- Linear Transformations on Algebras of Matrices
- On Spaces of Linear Transformations with Bounded Rank
- Linear transformations
- Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
- Spaces of matrices of fixed rank
- Linear maps preserving rank less than or equal to one
- Linear transformations on matrices: rank 1 preservers and determinant preservers
- Linear operators on matrices: The invariance of rank-k matrices
