𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
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Publication:5291937
DOI10.1090/S0002-9939-07-08807-7zbMath1123.47032OpenAlexW1979904540MaRDI QIDQ5291937
Publication date: 19 June 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08807-7
Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
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Cites Work
- Non-linear numerical radius isometries on atomic nest algebras and diagonal algebras.
- Multiplicative preservers on semigroups of matrices
- Matricial ranges of quadratic operators
- Some characterizations of the automorphisms of $B(H)$ and $C(X)$
- Maps preserving numerical ranges of operator products
- Mappings on matrices: invariance of functional values of matrix products
- Mappings preserving spectra of products of matrices
- Numerical range preserving operators on a Banach algebra
- Linear Maps on Selfadjoint Operators Preserving Invertibility, Positive Definiteness, Numerical Range
