Linear operators preserving certain singular matrix sets

DOI10.1080/03081089308818271zbMath0974.15010OpenAlexW2018820256MaRDI QIDQ4274548

Chi-Kwong Li, Stephen J. Pierce

Publication date: 10 July 1994

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

Full work available at URL: https://doi.org/10.1080/03081089308818271

zbMATH Keywords

eigenvaluesmatrix algebralinear preserversorthogonal similarityunitary \(t\)-congruence

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30)

Related Items

Linear maps preserving inclusion of fixed subsets into the spectrum, Induced operators on symmetry classes of tensors, Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSL_n(F)

Cites Work

• Linear transformations that preserve the nilpotent matrices
• Linear transformations
• Linear maps preserving regional eigenvalue location
• Chapter 2:rank and tensor rank
• Rigid Embedding of Simple Groups in the General Linear Group
• Spaces of Matrices with Several Zero Eigenvalues
• Linear operators on matrices: The invariance of rank-k matrices