Abstract
We look at the point-spectrum of the adjoints of certain composition operators on the Hardy–Hilbert space, for which the composition map has two distinguished fixed points: one inside the unit disk and one on the unit circle. In particular, we show that the point-spectrum of such operators contains a disk centered at the origin, and each eigenvalue in that disk has infinite multiplicity. We also identify for every such operator a subspace of the Hardy–Hilbert space which is invariant for the operator and on which it acts like a weighted shift. Finally, we generalize these results to weighted composition operators.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
