8 citations · 17 across the 14 of their papers we have counts for
5 papers · 1 filter
Typical dynamical properties of operators on
Jian Li, Qijing Liao
We investigate the typical dynamical properties of hypercyclic operators in , the set of all bounded linear operators on whose norms are at most , when $X=…
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…
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…
Distributionally chaotic -semigroups on complex sectors
Zhen Jiang, Jian Li, Yini Yang
We explore distributional chaos for -semigroups of linear operators on Banach spaces whose index set is a sector in the complex plane. We establish the relationship between di…
Trichotomy for the orbits of a hypercyclic operator on a Banach space
Jian Li
We obtain a trichotomy for the orbits of a hypercyclic operator on a separable Banach space : (1) every vector is mean asymptotic to zero; (2) generic vectors are absolutely…