Dunford property for composition operators on Hp-spaces

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https://doi.org/10.2422/2036-2145.202307_016

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2024

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Scuola Normale Superiore
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https://hdl.handle.net/20.500.14352/129161

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Gallardo 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.

Abstract

The 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.

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Análisis funcional y teoría de operadores, Análisis matemático

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1202.03 Álgebra y Espacios de Banach, 1202.09 Funciones de Una Variable Compleja, 1202.14 Espacio de Hilbert

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