Paulo Lupatini

collaborators

2 papers

math.DS2026

Shadowing phenomenon for composition operators on the Hardy space $H^{2} (D)$

Artur Blois, Ben-Hur Eidt, Paulo Lupatini +1

Let $I ¨ $ be a holomorphic self-map of the open unit disk $D .$ In this article, we study the shadowing phenomenon for composition operators $C_{I ¨} f = f \circ I ¨ $ on the Hardy s…

math.DS2025

Entropy for compact operators and results on entropy and specification

We investigate the topological entropy of operators. More precisely, in the Banach space setting, we show that compact operators have finite entropy, which depends solely on their…

Shadowing phenomenon for composition operators on the Hardy space H2(D)

Entropy for compact operators and results on entropy and specification

Shadowing phenomenon for composition operators on the Hardy space $H^{2} (D)$