Mean Li-Yorke chaos for a sequence of operators on Banach spaces
Functional Analysis
2025-11-11 v1
Abstract
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 mean Li-Yorke chaos for sequences and submultiplicative sequences of bounded linear operators are also studied. Furthermore, several criteria for mean Li-Yorke chaos are established.
Keywords
Cite
@article{arxiv.2511.06207,
title = {Mean Li-Yorke chaos for a sequence of operators on Banach spaces},
author = {Jian Li and Xinsheng Wang and Jianjie Zhao},
journal= {arXiv preprint arXiv:2511.06207},
year = {2025}
}