Nonlinear commutant preservers

DOI10.1080/03081087.2017.1307915OpenAlexW2600319701MaRDI QIDQ5206301

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Publication date: 18 December 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1307915

zbMATH Keywords

commutant and non-linear preservers problem

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on Banach algebras (47B48) Linear transformations, semilinear transformations (15A04)

Related Items (6)

Maps preserving some spectral domains of skew products of operators ⋮ Maps preserving local spectral subspaces of generalised product of operators ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ Nonlinear maps preserving certain subspaces ⋮ Nonlinear commuting maps on ℒ (X) ⋮ Local spectral subspace preservers

Cites Work

• Maps preserving the nilpotency of products of operators
• General preservers of invariant subspace lattices
• Maps preserving the idempotency of products of operators
• Spectrum-preserving linear maps
• Spectrum-preserving additive maps
• Linear maps preserving commutativity
• Maps on matrices compressing the local spectrum in the spectrum
• A survey on preservers of spectra and local spectra
• 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
• Invertibility preserving linear maps on ℒ(𝒳)
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