On the metric of the jet bundle and similarity on weighted Dirichlet spaces
- Resource Type
- Working Paper
- Authors
- Ji, Kui; Ji, Shanshan; Kwon, Hyun-Kyoung; Xu, Jing
- Source
- Subject
- Mathematics - Functional Analysis
- Language
In general, it is more difficult to formulate a sufficient condition for similarity than a necessary condition. We give sufficient conditions for a Cowen-Douglas operator with a positivity condition to be similar to the backward shift operator on weighted Dirichlet space. This condition involves the holomorphic jet bundle of the eigenvector bundle of the operator.