Rank preservers on spaces of symmetric matrices
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Publication:4376551
DOI10.1080/03081089708818517zbMath0890.15002OpenAlexW2049124267MaRDI QIDQ4376551
Leroy B. Beasley, Raphael Loewy
Publication date: 10 March 1998
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089708818517
Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)
Related Items
Linear/additive preservers of ranks 2 and 4 on alternate matrix spaces over fields ⋮ The linear preservers of non-singularity in a large space of matrices ⋮ Large spaces of symmetric matrices of bounded rank are decomposable∗ ⋮ Linear/additive preservers of rank 2 on spaces of alternate matrices over fields ⋮ Preservers of completely positive matrix rank ⋮ Rank-one nonincreasing additive mappings on second symmetric product spaces ⋮ Linear preservers of rank-sum-maximum, rank, rank-subtractivity, and rank-sum-minimum on symmetric matrices ⋮ Additive mappings between Hermitian matrix spaces preserving rank not exceeding one ⋮ Spaces of symmetric matrices containing a nonzero matrix of bounded rank ⋮ Linear transformations between matrix spaces that map one rank specific set into another
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- Linear Maps on Hermitian Matrices: The Stabilizer of an Inertia Class
- Spaces of matrices of fixed rank
- Linear transformations on symmetric matrices
- Linear transformations on symmetric matrices II
- Linear mappings which are rank-knonincreasing, II
- Linear operators on matrices: The invariance of rank-k matrices
