# A Banach Space which Admits No Chaotic Operator

@article{Bonet2001ABS, title={A Banach Space which Admits No Chaotic Operator}, author={Jos{\'e} Bonet and F{\'e}lix Mart{\'i}nez-Gim{\'e}nez and Alfredo Peris}, journal={Bulletin of the London Mathematical Society}, year={2001}, volume={33} }

The dual of a reflexive separable hereditarily indecomposable complex Banach space of Gowers and Maurey admits no chaotic continuous linear operator in the sense of Devaney defined on it.

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We prove that every separable infinite dimensional complex Banach space admits a hypercyclic uniformly continuous semigroup. We also prove that there exist Banach spaces admitting no chaotic strongly…

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We study chaos in the sense of Devaney for two models of polynomials (homogeneous and non-homogeneous) of arbitrary degree, defined on certain sequence spaces. Consequences are also obtained for the…

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