3 papers
math.FA2025
Mean Li-Yorke chaos for a sequence of operators on Banach spaces
Jian Li, Xinsheng Wang, Jianjie Zhao
In this paper, we obtain the dichotomy for mean equicontinuity and mean sensitivity for a sequence of bounded linear operators from a Banach space to a normed linear space. The mea…
math.FA2025
Density properties of orbits for a hypercyclic operator on a Banach space
Jian Li, Xinsheng Wang, Jianjie Zhao
We study density properties of orbits for a hypercyclic operator on a separable Banach space , and show that exactly one of the following four cases holds: (1) every vector…
math.DS2025
Dense uniform Li-Yorke chaos for linear operators on a Banach space
Jian Li, Xinsheng Wang
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…