On the Gleason-Kahane-Żelazko theorem

• Autorzy: Łuczak M.
• Języki publikacji: EN

Abstrakty

EN

We prove a generalisation of the Gleason-Kahane-Żelazko theorem in real Banach algebras with unit. We also prove the classical Gleason-Kahane-Żelazko theorem in strictly real algebras with unit in which the spectrum of every element is bounded, and (for continuous functionals) in real and complex A-pseudoconvex algebras with unit.

Słowa kluczowe

EN

Gleason-Kahane-Żelazko theorem; A-pseudoconvex algebra; real algebra

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 2
• Strony: 245--253
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Łuczak M.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland,

Bibliografia

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