Adjoints of rationally induced composition operators

Details Adjoints of rationally induced composition operators Adjoints of rationally induced composition operators

2008-01-11

arxiv.org/abs/0801.1844v2

J. Functional Analysis 255 (2008), 1995-2012

Mathematics

Functional Analysis

21 pages, Published Version

Scientific paper

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.

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