Mappings on matrices: invariance of functional values of matrix products
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Publication:3412783
DOI10.1017/S1446788700015809zbMath1110.15005MaRDI QIDQ3412783
Nung-Sing Sze, Jor-Ting Chan, Chi-Kwong Li
Publication date: 2 January 2007
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear transformations, semilinear transformations (15A04)
Related Items (32)
Preservers of unitary similarity functions on Lie products of matrices ⋮ Unitary similarity invariant function preservers of skew products of operators ⋮ On preservers of pseudo spectrum of skew Jordan matrix products ⋮ 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps ⋮ Maps preserving the truncation of products of operators ⋮ Multiplicative Jordan triple isomorphisms on the self-adjoint elements of von Neumann algebras ⋮ Maps preserving numerical radius and cross norms of operator products ⋮ Maps preserving numerical radius or cross norms of products of self-adjoint operators ⋮ Preservers of eigenvalue inclusion sets of matrix products ⋮ Maps preserving the nilpotency of products of operators ⋮ Maps preserving a Ky-Fan norm of Jordan product ⋮ Preservers of pseudo spectral radius of operator products ⋮ Numerical range of Lie product of operators ⋮ Preserving zeros of Lie product on alternate matrices ⋮ Properties and preservers of the pseudospectrum ⋮ Recent progress on local spectrum-preserving maps ⋮ Maps preserving matrix pairs with zero Jordan product ⋮ Condition spectra of special operators and condition spectra preservers ⋮ Maps leaving functional values of operator products invariant ⋮ Preservers of radial unitary similarity functions on products of operators ⋮ Nonlinear preservers of pseudospectral radius on Banach spaces ⋮ Maps preserving unitarily invariant norms of Jordan product of matrices ⋮ Preservers of Radial unitary similarity functions on Jordan semi-triple products of self-adjoint operators ⋮ Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product ⋮ Mappings preserving the idempotency of products of operators ⋮ Mappings that preserve pairs of operators with zero triple Jordan product ⋮ Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices ⋮ A note on preservers of pseudo spectrum of matrix products ⋮ Nonlinear maps preserving numerical radius of indefinite skew products of operators ⋮ Properties and preservers of numerical radius on skew Lie products of operators ⋮ Preserving Zeros of a Polynomial ⋮ Preservers of radial unitary similarity functions on Lie products of self-adjoint operators
Cites Work
- On mappings preserving orthogonality of non-singular vectors
- On determinant preserver problems
- Non-linear numerical radius isometries on atomic nest algebras and diagonal algebras.
- Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
- Determinant preserving maps on matrix algebras
- Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
- Applying projective geometry to transformations on rank one idempotents
- Some characterizations of the automorphisms of $B(H)$ and $C(X)$
- Linear Preserver Problems
- C-numerical ranges andC-numerical radii
- Mappings preserving zero products
- Local automorphisms of operator algebras on Banach spaces
- Automorphisms of the Field of Complex Numbers
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