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arXiv · 1912.03402

On linear chaos in function spaces

John M. Jimenez·Marat V. Markin
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Abstract

We show that, in $L_{p}(0,\infty)$ ($1\leq p <\infty$), bounded weighted translations as well as their unbounded counterparts are chaotic linear operators. We also extend the unbounded case to $C_{0}[0,\infty)$ and describe the spectra of the weighted translations provided the underlying spaces are complex.

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John M. Jimenez, Marat V. Markin. 2019-12-07. On linear chaos in function spaces. https://doi.org/10.1515/dema-2022-0008

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