International Journal of Nonlinear Analysis and Applications

Bicontinuous biseparating operators on Orlicz spaces in the context of hypergroups

Document Type : Research Paper

Authors

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

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 9
September 2023
Pages 137-143
  • Receive Date: 17 October 2022
  • Revise Date: 20 December 2022
  • Accept Date: 21 December 2022