@article {
author = {Zivari-Kazempour, Abbas and Valaei, Mohamad},
title = {Joint Continuity of Bi-multiplicative Functionals},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {2},
pages = {33-44},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.127223.795},
abstract = {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 result due to$\check{\text{S}}$ilov, concerning the automatic continuity of homomorphisms between Banach algebras. We also prove that every $n$-bi-multiplicative functionals on $\mathfrak{A}$ is continuous if and only if it is continuous for the case $n=2$. },
keywords = {Jointly continuous,Bi-multiplicative functional,Almost bi-multiplicative},
url = {https://scma.maragheh.ac.ir/article_240861.html},
eprint = {https://scma.maragheh.ac.ir/article_240861_e6375ff83f49e906b56ffeaaf06256ae.pdf}
}