| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9495541 | Journal of Functional Analysis | 2005 | 23 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jennifer Moorhouse,