Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 9 2023 09 01 Bicontinuous biseparating operators on Orlicz spaces in the context of hypergroups 137 143 7266 10.22075/ijnaa.2022.28712.3979 EN Seyyed Mohammad Tabatabaie Department of Mathematics, University of Qom, Qom, Iran Mahdi Latifpour Department of Mathematics, University of Qom, Qom, Iran Journal Article 2022 10 17 In this paper, first, we study bicontinuous biseparating left multipliers on Orlicz algebras in the context of a compact hypergroup and give some formula for them. Also, we assume that $\Phi$ is a $\Delta_2$-regular Young function with $\Phi\in\Delta'$ (globally) which is not equivalent to $|x|^2$, and prove that if there is an isometry algebra isomorphism between convolution Orlicz algebras $L^\Phi(G_1)$ and $L^\Phi(G_2)$, then the underlying locally compact groups $G_1$ and $G_2$ are isomorphic. locally compact hypergroup locally compact group Orlicz algebra Convolution biseparating operator left multiplier https://ijnaa.semnan.ac.ir/article_7266_22760fc3072ea1954c48f4db7c9d3e29.pdf