Lipschitz spectrum preserving mappings on algebras of matrices

DOI10.1016/0024-3795(93)00078-EzbMath0819.15002MaRDI QIDQ1347220

Janez Mrčun

Publication date: 4 April 1995

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

zbMATH Keywords

Lipschitz mappingsalgebras of matricesspectrum preserving mappings

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (7)

Maps on Matrix Algebras Preserving Commutativity ⋮ Maps on matrix algebras preserving idempotents ⋮ Spectrum nonincreasing maps on matrices ⋮ Maps on matrices that preserve the spectrum ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Maps on matrices preserving local spectra ⋮ Maps on matrices compressing the local spectrum in the spectrum

Cites Work

• Change of variables for absolutely continuous functions
• Linear Transformations on Algebras of Matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• A characterization of multiplicative linear functionals in Banach algebras

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