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arXiv · 2303.06882

Dynamic of Time Varying Weighted Backward Shift Operator

Jing Hou·Yonglu Shu
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Abstract

we study the hypercyclic and chaotic properties of the time varying weighted backward shift operator $(Tx)(t)=w(t)x(t+a)$ in $L_p(0,\infty)(1\leq p<\infty)$ and $C_0[0,\infty)$. And we also analyse the spectral structure of the operators if the spaces are complex.

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Jing Hou, Yonglu Shu. 2023-03-13. Dynamic of Time Varying Weighted Backward Shift Operator. https://arxiv.org/abs/2303.06882

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