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Disjoint hypercyclic and supercyclic composition operators on discrete weighted Banach spaces

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Abstract

In this paper, we characterize the disjoint hypercyclic and disjoint supercyclic composition operators on the little weighted Banach space \(L^0_\mu (T)\) defined on an unbounded, locally finite metric space T with a distinguished element. We give an explanation of the conditions which are needed and list some examples simultaneously.

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Acknowledgements

The authors would like to thank the referee for useful comments and suggestions that improved the quality of this paper.

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Authors and Affiliations

  1. School of Mathematics, Tianjin University, Tianjin, 300354, People’s Republic of China

    Zhiyuan Xu & Zehua Zhou

  2. Department of Mathematics, Tianjin University of Finance and Economics, Tianjin, 300222, People’s Republic of China

    Ya Wang

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  1. Zhiyuan Xu
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  2. Ya Wang
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  3. Zehua Zhou
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Correspondence to Ya Wang.

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This work was supported in part by the National Natural Science Foundation of China (Grant No. 12171353).

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Xu, Z., Wang, Y. & Zhou, Z. Disjoint hypercyclic and supercyclic composition operators on discrete weighted Banach spaces. Collect. Math. (2023). https://doi.org/10.1007/s13348-023-00418-4

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