On the M-hypercyclicity of cosine function on Banach spaces

  • 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

Resumo

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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Publicado
2019-02-18
Edição
v. 38 n. 3 (2020)
Seção
Artigos

Copyright (c) 2019 Boletim da Sociedade Paranaense de Matemática

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