Linear operators preserving the minimal rank

DOI10.1016/S0024-3795(99)00188-3zbMath0946.15019OpenAlexW2071018539WikidataQ127357078 ScholiaQ127357078MaRDI QIDQ1970455

Wa-Sin So

Publication date: 12 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(99)00188-3

zbMATH Keywords

linear preserversminimal ranknontrivial invariant polynomial

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Minimum-rank and maximum-nullity of graphs and their linear preservers

Cites Work

• Transformations on tensor product spaces
• Linear maps that preserve commuting pairs of matrices
• On the eigenvalues of the matrix
• Linear transformations on matrices: The invariance of commuting pairs of matrices

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