Linear transformations on matrices: The invariance of rank \(k\) matrices

DOI10.1016/0024-3795(70)90033-9zbMath0206.03905OpenAlexW1985084768MaRDI QIDQ2542529

Leroy B. Beasley

Publication date: 1970

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(70)90033-9

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04)

Related Items

Linear transformations on symmetric matrices, Additive mappings preserving operators of rank one, Similarity preserving linear maps on matrices, Linear mappings which are rank-knonincreasing, II, Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one, Rank \(k\)-preservers and preservers of sets of ranks, Linear preservers on triangular matrices, Linear transformations which preserve or decrease rank, Linear transformations on symmetric matrices II, On linear preservers of permanental rank, Chapter 2:rank and tensor rank, Linear transformations which preserve fixed rank, Spaces of matrices of equal rank, Linear transformations on matrices: The invariance of sets of ranks, Linear operators on matrices: The invariance of rank-k matrices, Linear operators on matrices: The invariance of rank-k matrices, On maps sending rank-κ idempotents to idempotents, Potent preservers of incidence algebras, On additive maps preserving certain semi-Fredholm subsets, A new class of finite cyclic permanent groups, Linear mappings on symmetry classes of tensors

Cites Work

• Unnamed Item
• Transformations on tensor product spaces
• Transformations on tensor spaces
• Linear transformations of tensor products preserving a fixed rank
• Linear Transformations on Algebras of Matrices
• Examples of constant rank spaces
• Spaces of linear transformations of equal rank