Adjoints of rationally induced composition operators

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.

21 pages, Published Version

Cited by in corpus (2)

• Toeplitz-composition C*-algebras for certain finite Blaschke products
• Adjoints of Composition Operators on Hardy Spaces of the Half-Plane