Bicontinuous biseparating operators on Orlicz spaces in the context of hypergroups

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_۲-regular Young function with \Phi\in\Delta' (globally) which is not equivalent to |x|^۲, and prove that if there is an isometry algebra isomorphism between convolution Orlicz algebras L^\Phi(G_۱) and L^\Phi(G_۲), then the underlying locally compact groups G_۱ and G_۲ are isomorphic.

کلیدواژه ها:

locally compact hypergroup ، locally compact group ، Orlicz algebra ، Convolution ، biseparating operator ، left multiplier