On maps preserving operators of local spectral radius zero
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Publication:332646
DOI10.1016/J.LAA.2016.10.001zbMath1362.47024OpenAlexW2527924934MaRDI QIDQ332646
Ali Jaatit, M'hamed El Hodaibi
Publication date: 8 November 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2016.10.001
Spectrum, resolvent (47A10) Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)
Related Items (10)
A note on local spectral subspace preservers ⋮ Preservers of the local spectral radius zero of Jordan product of operators ⋮ Nonlinear maps preserving certain subspaces of Lie product of operators ⋮ Preservers of the local spectral radii ⋮ Additive maps preserving matrices of inner local spectral radius zero at some fixed vector ⋮ Spectrum and local spectrum preservers of skew Lie products of matrices ⋮ Recent progress on local spectrum-preserving maps ⋮ Inner local spectral radius preservers ⋮ Maps preserving the inner local spectral radius zero of generalized product of operators ⋮ Maps preserving the local spectral radius zero of generalized product of operators
Cites Work
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- Linear maps preserving operators of local spectral radius zero
- Automatic continuity for linear surjective mappings decreasing the local spectral radius at some fixed vector
- Surjective linear maps preserving local spectra
- Local spectral radius preservers
- Additive maps preserving local spectrum
- A survey on preservers of spectra and local spectra
- Local spectrum and local spectral radius of an operator at a fixed vector
- Asymptotic intertwining and spectral inclusions on Banach spaces
- Invertibility preserving linear maps on ℒ(𝒳)
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