When is a Linear Functional Multiplicative?

DOI10.2307/1998572zbMath0474.46039OpenAlexW4248341327MaRDI QIDQ3930235

Moshe Roitman, Yaki Sternfeld

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998572

zbMATH Keywords

multiplicative functionalGleason-Kahane-Zelazko theorem

Mathematics Subject Classification ID

General theory of topological algebras (46H05)

Related Items (14)

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Finite Codimensional Ideals in Function Algebras ⋮ Multiplicative linear functionals in a commutative Banach algebra ⋮ A Gleason-Kahane-Żelazko theorem for modules and applications to holomorphic function spaces ⋮ On spectrally convex ordinary algebras ⋮ A multiplicative Gleason-Kahane-Żelazko theorem for \(C^\star \)-algebras ⋮ Spectral operation in locally convex algebras ⋮ Picard–Borel ideals in Fréchet algebras and Michael's problem ⋮ Linear and multiplicative maps under spectral conditions ⋮ Invertibility preserving linear maps on ℒ(𝒳) ⋮ Generalizations of the Gleason-Kahane-Żelazko theorem ⋮ A weaker Gleason–Kahane–Żelazko theorem for modules and applications to Hardy spaces ⋮ Korovkin approximation in Waelbroeck algebras ⋮ The theorem of Gleason-Kahane-Zelazko in a commutative symmetric Banach algebra

Cites Work

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• A characterization of maximal ideals
• A characterization of maximal ideals in commutative Banach algebras
• A characterization of multiplicative linear functionals in complex Banach algebras

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