Nonlinear maps preserving higher-dimensional numerical range of skew Lie product of operators
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Publication:3186686
DOI10.7153/oam-10-18zbMath1350.47029OpenAlexW2513204849MaRDI QIDQ3186686
Publication date: 12 August 2016
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/oam-10-18
Numerical range, numerical radius (47A12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (5)
Multiplicative preservers of higher-dimensional numerical ranges ⋮ Maps that preserve higher-dimensional numerical ranges with operator Jordan products ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Recent progress on local spectrum-preserving maps ⋮ Nonlinear maps preserving higher-dimensional numerical ranges of Jordan \(*\)-products
Cites Work
- Linear dependence of operators characterized by trace functionals
- Strong skew commutativity preserving maps on von Neumann algebras
- Maps preserving product \(XY -YX^*\) on factor von Neumann algebras
- Inclusion relations involving k-numerical ranges
- Maps preserving strong skew Lie product on factor von Neumann algebras
- On maps preserving zeros of the polynomial \(xy - yx^\ast\)
- Nonlinear commutativity preserving maps on self-adjoint operators
- Linear operators preserving the higher numerical radius of matrices
- Normality and the Higher Numerical Range
- Invariants of linear maps on matrix algebras
- THE SPECTRAL SCALE AND THE $k$ NUMERICAL RANGE
- THE SPECTRAL SCALE AND THE NUMERICAL RANGE
- 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
- A survey on linear preservers of numerical ranges and radii
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