Linear and multiplicative maps under spectral conditions

DOI10.1134/s0016266323030012MaRDI QIDQ6195839

Bhumi Amin, Ramesh Golla

Publication date: 14 March 2024

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Banach algebra\(C^*\)-algebraspectrumradicalsemisimple algebralinear mapmultiplicative mapGKŻ theorem

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) General theory of topological algebras (46H05)

Cites Work

• Unnamed Item
• Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
• A primer on spectral theory
• Some character generating functions on Banach algebras
• A spectral characterization of isomorphisms on \(C^\star\)-algebras
• Maps between Banach algebras preserving the spectrum
• A characterization of maximal ideals
• A multiplicative Gleason-Kahane-Żelazko theorem for \(C^\star \)-algebras
• A characterization of multiplicative linear functionals in Banach algebras
• When is a Linear Functional Multiplicative?
• Formes multiplicatives à valeurs dans le spectre
• Multiplicative maps into the spectrum
• A characterization of maximal ideals in commutative Banach algebras
• A characterization of multiplicative linear functionals in complex Banach algebras

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