$p$-Topologically multiply $(\mathcal{F},E)$-recurrent cosine operators on $L^\Phi(\mathcal{K})$ indexed by a Furstenberg family

Document Type : Original Article

Authors

1 Department of Mathematics, University of Qom, Qom, Iran

2 Department of Mathematics, University of Babylon, Babil, Iraq

Abstract

In this paper, we consider a family of cosine operators indexed by a Furstenberg family $\mathcal{F}$ on an Orlicz space in the context of a locally compact hypergroup, and give some applicable sufficient conditions for this collection to be $p$-topologically multiply $(\mathcal{F},E)$-recurrent.

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