Abstract
We construct dense sets of hypercyclic vectors for unbounded differention operators, including differentiation operators on the Hardy spaceH 2, and the Laplacian operator onL 2((Ω), for any bounded open subset Ω of ℝ2. Furthermore, we show that these operators are chaotic, in the sense of Devaney.
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Bès, J., Chan, K.C. & Seubert, S.M. Chaotic unbounded differentiation operators. Integr equ oper theory 40, 257–267 (2001). https://doi.org/10.1007/BF01299846
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DOI: https://doi.org/10.1007/BF01299846