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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 | ||
| تاریخ دریافت: 25 مهر 1401، تاریخ بازنگری: 29 آذر 1401، تاریخ پذیرش: 30 آذر 1401 | ||
| 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 | ||
| مراجع | ||
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