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arXiv · 2404.01939

Dunford property for composition operators on $H^p$-spaces

Eva A. Gallardo-Gutiérrez·F. Javier González-Doña·Miguel Monsalve-López
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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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Eva A. Gallardo-Gutiérrez, F. Javier González-Doña, Miguel Monsalve-López. 2024-04-02. Dunford property for composition operators on $H^p$-spaces. https://arxiv.org/abs/2404.01939

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