Li-Yorke Chaotic Weighted Composition Operators

We establish complete characterizations of the notion of Li-Yorke chaos for weighted composition operators on C₀(X) spaces and on Lᵖ(μ) spaces. As a consequence, we obtain simple characterizations of the Li-Yorke chaotic weighted shifts on c₀ and on ᵖ (1 ≤ p < ∞) that complement previously known results. We also investigate the notion of Li-Yorke chaos for weighted shifts on Fr\'echet sequence spaces. As applications, we obtain characterizations of the Li-Yorke chaotic weighted shifts on K\"othe sequence spaces depending only on the entries of the K\"othe matrix and the weights of the shift.