Spectral isometries onto algebras having a separating family of finite-dimensional irreducible representations

DOI10.1016/j.jmaa.2009.11.040zbMath1186.46049arXiv1602.03964OpenAlexW2026179672MaRDI QIDQ2267479

Constantin Costara, Dušan D. Repovš

Publication date: 1 March 2010

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

Full work available at URL: https://arxiv.org/abs/1602.03964

zbMATH Keywords

preserverspectral isometryJordan isomorphismfinite-dimensional irreducible representation

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) General theory of topological algebras (46H05)

Related Items (4)

Unnamed Item ⋮ Elementary Operators that are Spectrally Bounded ⋮ Spectral isometries on non-simple \textsl{C*}-algebras ⋮ More elementary operators that are spectrally bounded

Cites Work

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• A primer on spectral theory
• Une généralisation du théorème de Gleason-Kahane-Zelazko pour les algèbres de Banach. (A généralization of the Gleason-Kahane-Zelasko théorem for Banach algebras)
• Hereditary properties of spectral isometries
• Linear maps preserving the spectral radius
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• First results on spectrally bounded operators

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