Spectral isometries on non-simple \textsl{C*}-algebras

DOI10.1090/S0002-9939-2013-11704-1zbMath1280.47025arXiv1110.6856OpenAlexW1619030642MaRDI QIDQ2862177

Martin Mathieu, Ahmed Ramzi Sourour

Publication date: 14 November 2013

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

Full work available at URL: https://arxiv.org/abs/1110.6856

zbMATH Keywords

\(C^*\)-algebrasJordan isomorphismsspectrally bounded operatorsspectral isometries

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) Structure theory of linear operators (47A65) Ideals and subalgebras (46H10)

Related Items

Spectral preservers and approximate spectral preservers on operator algebras, More elementary operators that are spectrally bounded

Cites Work

• A Cartan type theorem for finite-dimensional algebras
• A primer on spectral theory
• Hereditary properties of spectral isometries
• Spectral isometries onto algebras having a separating family of finite-dimensional irreducible representations
• Linear maps preserving the essential spectral radius
• Spectral characterization of the radical in Banach and Jordan–Banach algebras
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• JORDAN ISOMORPHISM OF PURELY INFINITE C*-ALGEBRAS
• Commuting holomorphic maps on the spectral unit ball
• A COLLECTION OF PROBLEMS ON SPECTRALLY BOUNDED OPERATORS
• First results on spectrally bounded operators
• Jordan Homomorphisms of Rings
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