@article {
author = {Ghaffari, Ali},
title = {On some properties of elements in hypergroup algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {13},
number = {2},
pages = {3307-3312},
year = {2022},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {},
doi = {10.22075/ijnaa.2021.23709.3960},
abstract = {Let $H$ be a hypergroup with left Haar measure and let $L^1(H)$ be the complex Lebesgue space associated with it. Let $L^\infty(H)$ be the set of all locally measurable functions that are bounded except on a locally null set, modulo functions that are zero locally a.e. Let $\mu\in M(H)$. We want to find out when $\mu F\in L^\infty(H)^*$ implies that $F\in L^1(H)$. Some necessary and sufficient conditions is found for a measure $\mu$ for which if $\mu F\in L^1(H)$ for every $F\in L^\infty(H)^*$, then $F\in L^1(H)$.},
keywords = {Banach algebras,discrete topology,Hypergroup algebras,Second dual of hypergroup algebras,Weak topology},
url = {https://ijnaa.semnan.ac.ir/article_7401.html},
eprint = {https://ijnaa.semnan.ac.ir/article_7401_120da88299bb964015cb0bdccb1b9e97.pdf}
}