A note on similarity preserving linear maps on matrices

DOI10.1016/0024-3795(93)90228-GzbMath0787.15004MaRDI QIDQ686381

Juan-Miguel Gracia

Publication date: 13 October 1993

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

zbMATH Keywords

similarity preserving operators

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items

Nonlinear maps preserving similarity on \(\mathcal B(H)\), Nonlinear maps preserving similarity on B(X), Additive maps preserving similarity of operators on Banach spaces, Similarity invariant real linear subspaces and similarity preserving additive maps., Unnamed Item, Asymptotic similarity preserving additive maps on \(\mathcal B(X)\), A note on equivalence preserving maps, Linear preservers of equivalence relations on infinite-dimensional spaces, A note on unitary similarity preserving linear mappings on \(B(H)\), Maps preserving equivalence by products of involutions, Involution similarity preserving linear maps, Similarity preserving linear maps on \(\mathscr{J}\)-subspace lattice algebras, Similarity Jordan multiplicative maps, Additive maps preserving similarity or asymptotic similarity on, Unitary similarity preserving linear maps on \(B(H)\)

Cites Work

• Transformations on tensor product spaces
• Similarity preserving linear maps on matrices
• Linear transformations that preserve the nilpotent matrices
• Linear transformations that preserve a similarity class of matrices
• Linear Operators Preserving Certain Equivalence Relations on Matrices