Joint Continuity of Bi-multiplicative Functionals

For Banach algebras $\mathcal{A}$ and $\mathcal{B}$, we show that if $\mathfrak{A}=\mathcal{A}\times \mathcal{B}$ is unital, then each bi-multiplicative mapping from $\mathfrak{A}$ into a semisimple commutative Banach algebra $\mathcal{D}$ is jointly continuous. This conclusion generalizes  a famous...

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Bibliographic Details
Main Authors: Abbas Zivari-Kazempour, Mohamad Valaei
Format: Article
Language:English
Published: University of Maragheh 2021-05-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_240861_e6375ff83f49e906b56ffeaaf06256ae.pdf