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