Geodesic
Topologically Multiply $\mathcal F$-Recurrent Operators in the Context of Locally Compact Hypergroups
Publications de l'Institut Mathématique, _N_S_118 (2025) no. 132, p. 57

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DOI

Here we introduce topologically multiply $\mathcal F$-recurrent collections $\{T_t\}_{t\in S}$ of bounded linear operators on a Banach space $X$, where $\mathcal F$ is a Furstenberg family for a semigroup $S$. Then, we give some equivalent conditions for a collection $\{T_{a_t,w_t}\}_{t\in S}$ of weighted translation operators on an Orlicz space in the context of a locally compact hypergroup to be topologically multiply $\mathcal F$-recurrent.
DOI : 10.2298/PIM2532057T
Classification : 46E30, 43A62, 47B38
Keywords: Furstenberg family, topologically multiply $\mathcal F$-recurrent collections, topologically multiply recurrent operator, weighted transations, locally compact hypergroup, Orlicz spaces, $\mathcal F$-aperiodicity 
Seyyed Mohammad Tabatabaie; Alireza Bagheri Salec; Sarah Nahed AbdulAbbas Al-Mamoori. Topologically Multiply $\mathcal F$-Recurrent Operators in the Context of Locally Compact Hypergroups. Publications de l'Institut Mathématique, _N_S_118 (2025) no. 132, p. 57 . doi: 10.2298/PIM2532057T
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     title = {Topologically {Multiply} $\mathcal F${-Recurrent} {Operators} in the {Context} of {Locally} {Compact} {Hypergroups}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {57 },
     year = {2025},
     volume = {_N_S_118},
     number = {132},
     doi = {10.2298/PIM2532057T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2532057T/}
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