Title: Compact differences of composition operators
Abstract: A characterization of compact difference is given for composition operators acting on the standard weighted Bergman spaces and necessary conditions are given on a larger scale of weighted Dirichlet spaces. Conditions are given under which a composition operator can be written as a finite sum of composition operators modulo the compacts. The additive structure of the space of composition operators modulo the compact operators is investigated further and a sufficient condition is given to insure that two composition operators lie in the same component.
Publication Year: 2005
Publication Date: 2005-02-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 139
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot