Multiplicative preservers on semigroups of matrices
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Publication:1855374
DOI10.1016/S0024-3795(02)00346-4zbMath1025.15001MaRDI QIDQ1855374
Wai-Shun Cheung, Chi-Kwong Li, Shaun M. Fallat
Publication date: 5 February 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Hermitian matriceslinear preservertotally nonnegative matricessemigroups of matricesmultiplicative preserversrank-\(k\) matrices
Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)
Related Items (13)
Preservers of unitary similarity functions on Lie products of matrices ⋮ 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps ⋮ Multiplicative Preservers of C-Numerical Ranges and Radii ⋮ Preservers of eigenvalue inclusion sets of matrix products ⋮ Schur product of matrices and numerical radius (range) preserving maps ⋮ Maps preserving the nilpotency of products of operators ⋮ 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 ⋮ Multiplicative maps preserving the higher rank numerical ranges and radii ⋮ Multiplicative preservers and induced operators ⋮ Automorphisms of certain groups and semigroups of matrices
Cites Work
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- Some properties of totally positive matrices
- Multiplicative maps on \({\mathcal B}(X)\)
- Multiplicative maps on matrices that preserve the spectrum
- Some multiplicative preservers on \(B(H)\)
- Multiplicative maps of matrix semi-groups
- Products of positive definite matrices. III
- Linear Preserver Problems
- Automorphisms of the Complex Numbers
- When are Multiplicative Mappings Additive?
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