Topologically multiply F -recurrent operators in the context of locally compact hypergroups

Puntos clave

• The aim is to introduce and analyze topologically multiply F-recurrent collections of bounded linear operators.
• Introduced collections of bounded linear operators on a Banach space X.
• Defined a Furstenberg family for a semigroup S.
• Examined weighted translation operators on an Orlicz space.
• Derived conditions for topological recurrence from the context of locally compact hypergroups.
• Established criteria for collections of operators to be topologically multiply F-recurrent.
• Showed equivalences in the setting of locally compact hypergroups.
• Provided insights into the behavior of weighted translation operators in this framework.