Dense Uniform Li–Yorke Chaos for Linear Operators on a Banach Space

Abstract

Listen

Translate article

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 [Formula: see text], it is shown that Li–Yorke chaos is equivalent to dense uniform Li–Yorke chaos.