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Chaotic Unilateral Weighted Backward Shifts on Sequentially Complete Topological Sequence Spaces

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Abstract

Extending previous results of Grosse-Erdmann and Peris we obtain a characterization of chaotic unilateral weighted backward shifts on sequentially complete topological sequence spaces in which the canonical unit vectors (en) ∞n=1 form an unconditional basis.

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Acknowledgements

We thank the referees for their time and comments.

Funding

Supported by Research Program of Science at Universities of Inner Mongolia Autonomous Region (Grant No. NJZY22328)

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Authors and Affiliations

  1. College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot, 010070, P. R. China

    Zhen Rong

  2. School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021, P. R. China

    Cheng Luo, Fei He & Ning Lu

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  1. Zhen Rong
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  2. Cheng Luo
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  3. Fei He
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  4. Ning Lu
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Correspondence to Zhen Rong.

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Rong, Z., Luo, C., He, F. et al. Chaotic Unilateral Weighted Backward Shifts on Sequentially Complete Topological Sequence Spaces. Acta. Math. Sin.-English Ser. 38, 1285–1293 (2022). https://doi.org/10.1007/s10114-022-1255-7

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  • DOI: https://doi.org/10.1007/s10114-022-1255-7

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