Document Type : Research Paper

Authors

• Seyyed Mohammad Tabatabaie
• Mahdi Latifpour

Department of Mathematics, University of Qom, Qom, Iran

Abstract

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.

Keywords

• locally compact hypergroup
• locally compact group
• Orlicz algebra
• convolution
• biseparating operator
• left multiplier