Adjoints of rationally induced composition operators
Functional Analysis
2009-03-20 v2 Complex Variables
Abstract
We give an elementary proof of a formula recently obtained by Hammond, Moorhouse, and Robbins for the adjoint of a rationally induced composition operator on the Hardy space H^2. We discuss some variants and implications of this formula, and use it to provide a sufficient condition for a rationally induced composition operator adjoint to be a compact perturbation of a weighted composition operator.
Keywords
Cite
@article{arxiv.0801.1844,
title = {Adjoints of rationally induced composition operators},
author = {Paul S. Bourdon and Joel H. Shapiro},
journal= {arXiv preprint arXiv:0801.1844},
year = {2009}
}
Comments
21 pages, Published Version