Generalizations of the Gleason-Kahane-Żelazko theorem

DOI10.1216/rmjm/1181072922zbMath0781.46035OpenAlexW2015475785MaRDI QIDQ1206736

Krzysztof Jarosz

Publication date: 1 April 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072922

zbMATH Keywords

linear-multiplicative functionalsone codimensional subspacesproper ideal \(I_ f\)

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05)

Related Items (9)

On the bicomplex Gleason-Kahane-Żelazko theorem ⋮ Multiplicative linear functionals in a commutative Banach algebra ⋮ Unnamed Item ⋮ Sufficient conditions for a linear functional to be multiplicative ⋮ Finite codimensional ideals in Banach algebras with one generator ⋮ Subspaces with noninvertible elements in \(\mathrm{Re} C(X)\) ⋮ Gleason-Kahane-Żelazko theorem for bilinear maps ⋮ Local isometries on spaces of continuous functions ⋮ On the Gleason-Kahane-Żelazko theorem for associative algebras

Cites Work

• Unnamed Item
• A generalization of the Gleason-Kahane-Zelazko theorem
• Une généralisation du théorème de Gleason-Kahane-Zelazko pour les algèbres de Banach. (A généralization of the Gleason-Kahane-Zelasko théorem for Banach algebras)
• Closed ideals of finite codimension in regular selfadjoint Banach algebras
• A characterization of maximal ideals
• A characterization of regular maximal ideals
• Finite Codimensional Ideals in Function Algebras
• Finite Codimensional Ideals in Banach Algebras
• A characterization of multiplicative linear functionals in Banach algebras
• When is a Linear Functional Multiplicative?
• Ideals of Finite Codimension in C[ 0, 1 and L 1 (R)]
• Functionals on Real C(S)
• A characterization of maximal ideals in commutative Banach algebras
• A characterization of multiplicative linear functionals in complex Banach algebras

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