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arXiv · 2502.00424

Dense uniform Li-Yorke chaos for linear operators on a Banach space

Jian Li·Xinsheng Wang
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Abstract

This paper focuses on the dense uniform Li-Yorke chaos for linear operators on a Banach space. Some sufficient conditions and equivalent conditions are established under which the dynamical system is densely uniformly Li-Yorke chaotic. It is shown that there are plenty of densely uniformly Li-Yorke chaotic operators. For unilateral backward weighted shifts and bilateral backward weighted shifts on $\ell^p$, it is shown that Li-Yorke chaos is equivalent to dense uniform Li-Yorke chaos.

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Jian Li, Xinsheng Wang. 2025-02-01. Dense uniform Li-Yorke chaos for linear operators on a Banach space. https://doi.org/10.1142/s0218127425500154

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