Multiplicative maps on matrices that preserve the spectrum

DOI10.1016/0024-3795(94)90409-XzbMath0815.15009OpenAlexW2062899136MaRDI QIDQ1344069

Scott H. Hochwald

Publication date: 9 July 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90409-x

zbMATH Keywords

invertible matricesunitary matricesmultiplicative maps on matricesspectrum preserving transformations

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (13)

Rank-preserving multiplicative maps on \(B(X)\) ⋮ Multiplicative Preservers of C-Numerical Ranges and Radii ⋮ Multiplicative preservers of higher-dimensional numerical ranges ⋮ Continuous multiplicative maps of Toeplitz algebras ⋮ SCHUR MULTIPLICATIVE MAPS ON MATRICES ⋮ Schur-multiplicative maps preserving unitarily invariant norms ⋮ Some characterizations of the automorphisms of $B(H)$ and $C(X)$ ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Norm-preserving surjections on algebras of continuous functions ⋮ Multiplicative Maps With Specified (1, 1)-Entry ⋮ Multiplicative maps on \({\mathcal B}(X)\) ⋮ Multiplicative preservers on semigroups of matrices ⋮ Characterizations of automorphisms of operator algebras on Banach spaces

Cites Work

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• Spectrum-preserving linear maps
• On tridiagonalization of matrices
• The operator factorization problems
• Spectrum-preserving additive maps
• Matrix Analysis
• A Decomposition of Orthogonal Transformations

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