On the pseudospectrum preservers

DOI10.22199/issn.0717-6279-2020-06-0089zbMath1485.47062OpenAlexW3101827111MaRDI QIDQ5018688

Aziz Lahssaini, Mustapha Ech-Cherif El Kettani

Publication date: 21 December 2021

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2020-06-0089

zbMATH Keywords

additive mapsgeneralized productspseudospectrum preservers

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Operators on Banach spaces (47B01)

Cites Work

• Unnamed Item
• Linear maps preserving pseudospectrum and condition spectrum
• Reduced minimum modulus preserving in Banach space
• Additive maps preserving operators of inner local spectral radius zero
• Maps preserving the spectrum of generalized Jordan product of operators
• Additive maps between standard operator algebras compressing certain spectral functions
• On linear maps preserving certain pseudospectrum and condition spectrum subsets
• Additive spectrum compressors
• Additive maps preserving the reduced minimum modulus of Banach space operators
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Nonlinear maps preserving certain subspaces
• Maps preserving the local spectral radius zero of generalized product of operators
• Pseudospectrum of an element of a Banach algebra
• Jordan isomorphisms and maps preserving spectra of certain operator products

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