A note on spectrum-preserving maps

DOI10.1016/J.JMAA.2011.09.024zbMath1251.47033OpenAlexW2018592619MaRDI QIDQ655460

Matej Brešar, Peter Šemrl, Jerónimo Alaminos, Armando R. Villena

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.024

zbMATH Keywords

Banach algebraJordan homomorphismspectrum-preserving map

Mathematics Subject Classification ID

Topological algebras, normed rings and algebras, Banach algebras (46H99) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Linear map preserving the right spectrum of quaternion matrices ⋮ Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector

Cites Work

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• Jordan mappings of semiprime rings
• A characterization of homomorphisms between Banach algebras
• An extension of the Gleason-Kahane-Żelazko theorem: A possible approach to Kaplansky's problem
• Spectrum-preserving linear maps
• A primer on spectral theory
• Hereditary properties of spectral isometries
• Characterizing isomorphisms in terms of completely preserving invertibility or spectrum
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• First results on spectrally bounded operators
• Invertibility preserving linear maps on ℒ(𝒳)
• Jordan Homomorphisms of Rings

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