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<p>In this article, we will discuss and introduce the notion of disjoint topological recurrence for finitely many operators acting on a real or complex Fréchet space. In addition, we characterize the disjoint topological recurrence of finitely many different powers of weighted shifts, both in the unilateral and bilateral cases, acting on sequence spaces.</p>

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Disjoint topologically recurrent operators

  • 期刊论文

  • 发表日期：

    2025年7月29日

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  • El Mostafa Sadouk,
  • Otmane Benchiheb,
  • Mohamed Amouch

摘要

In this article, we will discuss and introduce the notion of disjoint topological recurrence for finitely many operators acting on a real or complex Fréchet space. In addition, we characterize the disjoint topological recurrence of finitely many different powers of weighted shifts, both in the unilateral and bilateral cases, acting on sequence spaces.