On the M-hypercyclicity of cosine function on Banach spaces
Tajmouati, Abdelaziz ; El Bakkali, Abdeslam ; Toukmati, Ahmed
Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2019-01-01
DOI : https://doi.org/10.5269/bspm.v38i3.38137 
@article{38137,
     title = {On the M-hypercyclicity of cosine function on Banach spaces},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {38},
     year = {2019},
     doi = {10.5269/bspm.v38i3.38137},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/38137}
}

Tajmouati, Abdelaziz; El Bakkali, Abdeslam; Toukmati, Ahmed. On the M-hypercyclicity of cosine function on Banach spaces. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i3.38137. http://gdmltest.u-ga.fr/item/38137/