Bicontinuous biseparating operators on Orlicz spaces in the context of hypergroups

	Bicontinuous biseparating operators on Orlicz spaces in the context of hypergroups
International Journal of Nonlinear Analysis and Applications
مقاله 9، دوره 14، شماره 9، آذر 2023، صفحه 137-143 اصل مقاله (358.78 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28712.3979
نویسندگان
Seyyed Mohammad Tabatabaie^* ؛ Mahdi Latifpour
Department of Mathematics, University of Qom, Qom, Iran
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.
کلیدواژه‌ها
locally compact hypergroup؛ locally compact group؛ Orlicz algebra؛ convolution؛ biseparating operator؛ left multiplier
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