Abstract
We give a necessary condition for a Cowen-Douglas operator to be similar to the backward shift operator on the Dirichlet space. A model theorem for weighted shifts provides an eigenvector bundle structure for the operators involved and plays a fundamental role in this geometric description.
| Original language | English |
|---|---|
| Pages (from-to) | 133-140 |
| Number of pages | 8 |
| Journal | Journal of Operator Theory |
| Volume | 76 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2016 |
Keywords
- Backward shift
- Cowen-Douglas operator
- Dirichlet space
- Eigenvector bundle
- Reproducing kernel
- Similarity
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