Bicontinuous biseparating operators on Orlicz spaces in the context of hypergroups

نویسندگان

1 Department of Mathematics, University of Qom, Qom, Iran

2 Department of Mathematics, University of Qom, Qom, Iran

doi
10.22075/ijnaa.2022.28712.3979
چکیده

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.