Preserving diagonalisability

DOI10.1016/S0024-3795(98)10111-8zbMath0936.15007OpenAlexW4206518349MaRDI QIDQ1124801

Peter Šemrl, Matjaž Omladič

Publication date: 28 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10111-8

zbMATH Keywords

linear preserverlinear mappingsdiagonalisable matrixpreserving diagonalisabilitysimultaneous diagonalisability

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (4)

Preserving commutativity ⋮ The linear preservers of real diagonalizable matrices ⋮ Complex symmetric operators and additive preservers problem ⋮ Nonlinear preservers problem of complex symmetric operators

Cites Work

• Analytic perturbation theory for matrices and operators. Licensed ed
• A generalization of the Motzkin-Taussky theorem
• Perturbation theory for linear operators.
• Linear preserver problems and algebraic groups
• Matrix spaces with bounded number of eigenvalues
• Pairs of Matrices With Property L. II
• On matrix spaces with zero determinant
• Pairs of Matrices with Property L

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