Nonlinear maps preserving the local spectral subspace

DOI10.1080/03081087.2017.1409693OpenAlexW2771308318MaRDI QIDQ5205763

Mustapha Ech-Cherif El Kettani, Imane Herrou, Hassane Benbouziane

Publication date: 16 December 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2017.1409693

zbMATH Keywords

rank one operatorlocal spectral subspacenonlinear preservers problem

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on Banach algebras (47B48) Local spectral properties of linear operators (47A11)

Related Items (4)

A note on local spectral subspace preservers ⋮ Maps preserving local spectral subspaces of generalised product of operators ⋮ Maps preserving the local spectral subspace of product or Jordan triple product of operators ⋮ Local spectral subspace preservers

Cites Work

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• Maps on matrices compressing the local spectrum in the spectrum
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• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces
• Adjacency preserving maps on matrices and operators
• Invertibility preserving linear maps on ℒ(𝒳)
• Nonlinear maps preserving condition spectrum of Jordan skew triple product of operators
• From geometry to invertibility preservers

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