Spectrally additive maps on Banach algebras

DOI10.1007/s10474-023-01330-wOpenAlexW4378221275MaRDI QIDQ6111800

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Publication date: 4 August 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-023-01330-w

zbMATH Keywords

spectrumranksoclesemisimple Banach algebraspectrum-preserving mapJordan-isomorphism

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on Banach algebras (47B48) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) General theory of topological algebras (46H05) Ideals and subalgebras (46H10)

Cites Work

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• Uniqueness under spectral variation in the socle of a Banach algebra
• A survey of invertibility and spectrum preserving linear maps
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• Spectrum-preserving additive maps
• A primer on spectral theory
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• Spectrally additive group homomorphisms on Banach algebras
• Trace characterizations and socle identifications in Banach algebras
• A characterization of maximal ideals
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• A characterization of multiplicative linear functionals in Banach algebras
• Spectrum preserving linear mappings in Banach algebras
• A characterization of maximal ideals in commutative Banach algebras
• A characterization of multiplicative linear functionals in complex Banach algebras

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