English

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

Functional Analysis 2024-04-03 v1

Abstract

The Dunford property (C)(C) for composition operators on HpH^p-spaces (1<p<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.

Keywords

Cite

@article{arxiv.2404.01939,
  title  = {Dunford property for composition operators on $H^p$-spaces},
  author = {Eva A. Gallardo-Gutiérrez and F. Javier González-Doña and Miguel Monsalve-López},
  journal= {arXiv preprint arXiv:2404.01939},
  year   = {2024}
}

Comments

Accepted for publication in Ann. Sc. Norm. Super. Pisa Cl. Sci

R2 v1 2026-06-28T15:41:40.845Z