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Chaos for Cosine Operator Functions Generated by Shifts

Chung-Chuan Chen

Department of Mathematics Education, National Taichung University of Education, Taichung, 403, Taiwan

https://doi.org/10.1142/S0218127414501089Cited by:6 (Source: Crossref)

Abstract

Let 1 ≤ p < ∞. We give the sufficient and necessary condition for cosine operator functions, generated by bilateral weighted shifts on ℓ^p(ℤ), to be chaotic. Moreover, such a cosine operator function is chaotic if, and only if, its weighted shift is chaotic.

Keywords:

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