Dynamic of Time Varying Weighted Backward Shift Operator

Jing Hou; Yonglu Shu

Dynamic of Time Varying Weighted Backward Shift Operator

Functional Analysis 2023-03-14 v1

Authors: Jing Hou , Yonglu Shu

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.

Keywords

hypercyclicity

Cite

@article{arxiv.2303.06882,
  title  = {Dynamic of Time Varying Weighted Backward Shift Operator},
  author = {Jing Hou and Yonglu Shu},
  journal= {arXiv preprint arXiv:2303.06882},
  year   = {2023}
}

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