Linear transformations preserving sets of ranks

DOI10.1216/RMJ-1983-13-2-299zbMath0516.15001OpenAlexW1983497085MaRDI QIDQ1052420

Leroy B. Beasley

Publication date: 1983

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1983-13-2-299

zbMATH Keywords

algebraically closed fieldlinear transformations of matricesrank preserving transformations

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (8)

Linear mappings which are rank-knonincreasing^* ⋮ Linear transformations ⋮ 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 transformations which preserve or decrease rank ⋮ Signature preserving linear maps of Hermitian matrices ⋮ Chapter 2:rank and tensor rank ⋮ Linear transformations which preserve fixed rank

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