Gallardo Gutiérrez, Eva AntoniaMonsalve López, MiguelGonzalez Doña, Javier2025-12-162025-12-162024Gallardo Gutiérrez, E.A. , Gonzalez-Dona, J. and Monsalve-Lopez, M. 2024. Dunford property for composition operators on $H^p$-spaces. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. (May 2024), 17. DOI:https://doi.org/10.2422/2036-2145.202307_016.10.2422/2036-2145.202307_016https://hdl.handle.net/20.500.14352/129161Early online publicationThe Dunford property (C) for composition operators on $H^p$-spaces ($1 < p < \infty$), as well as for their adjoints, is completely characterized within the class of those induced by linear fractional transformations of the unit disc. As a consequence, it is shown that the Dunford property is stable in such a class addressing a particular instance of a question posed by Laursen and Neumann.engjournal articlehttps://doi.org/10.2422/2036-2145.202307_016https://arxiv.org/abs/2404.01939open accessDunford property (C)Decomposable operatorsLocal spectral theoryComposition operatorsAnálisis funcional y teoría de operadoresAnálisis matemático1202.03 Álgebra y Espacios de Banach1202.09 Funciones de Una Variable Compleja1202.14 Espacio de Hilbert