On the Dynamics of Weighted Composition Operators II
Year: 2026
Type: article
Abstract: We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous functions. This class includes several classical classes of continuous function spaces, such as the Banach spaces $$C_0(X)$$ C 0 ( X ) of continuous scalar-valued functions vanishing at infinity on a Hausdorff locally compact space X , endowed with the sup norm, and the locally convex spaces $$C(X)_c$$ C ( X ) c of continuous scalar-valued functions on a completely regular space X , endowed with the compact-open topology. We also obtain complete characterizations of various notions of expansivity for weighted composition operators on $$L^p(\mu )$$ L p ( μ ) spaces, thereby complementing and extending previously known results in the unweighted case. Finally, we establish a conjugation between weighted and unweighted composition operators in the case of dissipative systems on $$L^p(\mu )$$ L p ( μ ) spaces and apply it to the study of several dynamical properties.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7164902358