Inner local spectral radius preservers
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Publication:1783568
DOI10.1007/s12215-017-0308-8OpenAlexW2614134501MaRDI QIDQ1783568
Ali Jaatit, M'hamed El Hodaibi
Publication date: 21 September 2018
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-017-0308-8
Spectrum, resolvent (47A10) Linear operators on Banach algebras (47B48) General theory of topological algebras (46H05) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (8)
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 ⋮ Linear maps preserving operators of inner local spectral radius zero at some fixed vector ⋮ 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
Cites Work
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- On maps preserving operators of local spectral radius zero
- Linear maps preserving operators of local spectral radius zero
- Additive maps preserving operators of inner local spectral radius zero
- Additive maps between standard operator algebras compressing certain spectral functions
- Surjective linear maps preserving local spectra
- Linear maps between Banach algebras compressing certain spectral functions
- Local spectral radius preservers
- Local spectrum linear preservers at non-fixed vectors
- Additive maps preserving local spectrum
- Nonlinear maps preserving the inner local spectral radius
- A survey on preservers of spectra and local spectra
- Invertibility preserving linear maps on ℒ(𝒳)
- Continuous maps preserving local spectra of matrices
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