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

Bagheri Salec, Alireza; Al-Mamoori, Sarah Nahed AbdulAbbas; Tabatabaie, Seyyed  Mohammad

doi:10.22060/ajmc.2025.24115.1368

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

Articles in Press

Document Type : Original Article

Authors

Alireza Bagheri Salec ¹

Sarah Nahed AbdulAbbas Al-Mamoori ¹^{, 2}

Seyyed Mohammad Tabatabaie ¹

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

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

10.22060/ajmc.2025.24115.1368

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.

Keywords

Furstenberg family

$p$-topologically multiply $(\mathcal{F}, \mathcal{E})$-recurrent collections

Cosine operators

Orlicz spaces

$(\mathcal{F}, F)$-aperiodicity

Subjects