Multiplicative Preservers of C-Numerical Ranges and Radii
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Publication:4818365
DOI10.1080/03081080310001625200zbMath1058.15031OpenAlexW2092854485MaRDI QIDQ4818365
Publication date: 28 September 2004
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080310001625200
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear operators on Banach algebras (47B48) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)
Related Items (2)
Multiplicative preservers of higher-dimensional numerical ranges ⋮ Continuous multiplicative maps of Toeplitz algebras
Cites Work
- The constrained bilinear form and the C-numerical range
- Elementary inclusion relations for generalized numerical ranges
- Constrained extrema of bilinear functionals
- Norm properties of C-numerical radii
- Multiplicative maps on matrices that preserve the spectrum
- Multiplicative preservers on semigroups of matrices
- TheC-numerical range of matrices is star-shaped
- Some convexity theorems for the generalized numerical ranges
- Norms that are invariant under unitary similarities and theC-numerical radii
- Duality between some linear preservers problems: the invariance of thec-numerical range, thec-numerical radius and certain matrix sets
- A generalized numerical range: the range of a constrained sesquilinear form
- C-numerical ranges andC-numerical radii
- Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSLn(F)
- Invertible preservers and algebraic groups III: preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups∗
- Numerical ranges and dilations∗
- Automorphisms of the Complex Numbers
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