An extension of the Gleason-Kahane-Żelazko theorem: A possible approach to Kaplansky's problem

DOI10.1016/j.exmath.2007.11.004zbMath1154.47030OpenAlexW2055995410MaRDI QIDQ935412

Matej Brešar, Peter Šemrl

Publication date: 6 August 2008

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2007.11.004

zbMATH Keywords

linear preservercommutativityJordan homomorphismsinverrtibility preserving linear mapssemi-simple Banach algebras

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (6)

Functional identities and their applications ⋮ Determining elements in Banach algebras through spectral properties ⋮ A nonlinear preserver problem on positive matrices ⋮ A note on spectrum-preserving maps ⋮ Recent progress on local spectrum-preserving maps ⋮ Approximately spectrum-preserving maps

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• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• On surjective linear maps preserving commutativity
• Invertibility preserving linear maps on ℒ(𝒳)
• Affine mappings of invertible operators
• A characterization of maximal ideals in commutative Banach algebras
• A characterization of multiplicative linear functionals in complex Banach algebras

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