Publication:
On the connected component of compact composition operators on the Hardy space

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2008
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsvier
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H-2. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a theorem of MacCluer, giving a lower bound for the essential norm of a difference of composition operators in terms of the angular derivatives of their symbols. As a main tool we use Aleksandrov-Clark measures.
Description
Keywords
Citation
Collections