Trace and spectrum preserving linear mappings in Jordan-Banach algebras

DOI10.1007/BF01317312zbMath0919.46037MaRDI QIDQ1386379

Bernard Aupetit

Publication date: 1 June 1999

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178806

zbMATH Keywords

tracehomomorphismsdeterminantsocleJordan Banach algebrasspectrum preserving mappingsemiprimitive Jordan Banach algebrasocle of a semiprimitive Banach algebra

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative topological algebras (46H70)

Related Items (2)

Linear maps preserving invertibility or related spectral properties ⋮ Trace and norm for reduced elements of jordan pairs

Cites Work

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• Trace and determinant in Jordan-Banach algebras
• Reduced elements in Jordan triple systems
• On the socle of a noncommutative Jordan algebra
• A characterization of the radical of a Jordan algebra
• Spectral characterization of the radical in Banach and Jordan–Banach algebras
• Sur le Socle Dans Les Algèbres de Jordan-Banach
• Spectrum preserving linear mappings in Banach algebras
• Inessential Ideals in Jordan-Banach Algebras
• Spectral characterization of the socle in Jordan–Banach algebras

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