Ergodicity for a family of operators

  • Abdellah AKRYM Chouaib Doukkali University, Faculty of Sciences El Jadida
  • Abdeslam El Bakkali Chouaib Doukkali University
  • Abdelkhalek Faouzi Chouaib Doukkali University

Resumo

The aim of this paper is to introduce the notions of power boundedness, Cesàro boundedness, mean ergodicity, and uniform ergodicity
for a family of bounded linear operators on a Banach space. The authors present some elementary results in this setting and show that some
main results about power bounded, Cesàro bounded, mean ergodic, and the uniform ergodic operator can be extended from the case of
a linear bounded operator to the case of a family of bounded linear operators acting on a Banach space. Also, we show that the Yosida
theorem can be extended from the case of a bounded linear operator to the case of a family of bounded linear operators acting on a Banach
space.

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Biografia do Autor

Abdellah AKRYM, Chouaib Doukkali University, Faculty of Sciences El Jadida

Department of Mathematics

Abdeslam El Bakkali, Chouaib Doukkali University

Department of Mathematics

Abdelkhalek Faouzi, Chouaib Doukkali University

Department of Mathematics

Referências

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Publicado
2024-05-08
Seção
Artigos