On the M-hypercyclicity of cosine function on Banach spaces

Authors

  • 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

Keywords:

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

Abstract

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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Published

2019-02-18

Issue

Vol. 38 No. 3 (2020)

Section

Research Articles

License

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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