A Cartan theorem for Banach algebras

DOI10.1090/S0002-9939-96-03197-8zbMath0840.46027OpenAlexW2139992504MaRDI QIDQ4874327

Thomas Ransford

Publication date: 4 July 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03197-8

zbMATH Keywords

spectral radiusautomorphismsholomorphic mapsemisimple Banach algebracentrespectral unit ballCartan theoremNagasawa's generalization of the Banach-Stone theorem

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) General theory of topological algebras (46H05)

Related Items (5)

On local irreducibility of the spectrum ⋮ Maps preserving peripheral spectrum of generalized Jordan products of operators ⋮ A Cartan type theorem for finite-dimensional algebras ⋮ Norm-preserving surjections on algebras of continuous functions ⋮ On the automorphisms of the spectral unit ball

Cites Work

• A primer on spectral theory
• A Spectral Commutant Lifting Theorem
• Holomorphic Self-Maps of the Spectral unit Ball
• Spectrum preserving linear mappings in Banach algebras
• Isomorphisms between commutative Banach algebras with an application to rings of analytic functions

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