On the M-hypercyclicity of cosine function on Banach spaces

Auteurs-es

  • Abdelaziz Tajmouati Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar El Mahraz Laboratory of Mathematical Analysis and Applications http://orcid.org/0000-0003-1572-1241
  • Abdeslam El Bakkali Chouaib Doukkali University Faculty of Sciences El Jadida
  • Ahmed Toukmati Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar El Mahraz Laboratory of Mathematical Analysis and Applications

DOI :

https://doi.org/10.5269/bspm.v38i3.38137

Mots-clés :

Cosine function, Hypercyclicity, Topologically transitive, M-hypercyclicity, M-transitive

Résumé

In this paper we introduce and study the M-hypercyclicity of strongly continuous cosine function on separable complex Banach space, and we give the criteria for cosine function to be M-hypercyclic. We also prove that every separable infinite dimensional complex Banach space admits a uniformly continuous cosine function.

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Publié

2019-02-18

Numéro

Vol. 38 No. 3 (2020)

Rubrique

Research Articles

Licence

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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