Commutators of the Unilateral shift and adjoint for reproducing kernel Hilbert spaces on the disk
We generalise the result of Berger and Shaw [2] the trace formula for Hardy Hilbert space to a larger class of rotation invariant Hilbert function spaces on the unit disk.We also demonstrate many meaningful examples of these Hilbert spaces by computing the inner products.We also extend to a wider class than the unilateral shift, that is, weighted shifts under certain restrictions.
Authors
- Nathan Parker
Institutions
- Department of Mathematical Sciences (RU)
Publication Details
- Journal
- Irish Mathematical Society Bulletin
- Published
- 2025-01-01
- DOI
- https://doi.org/10.33232/bims.0095.35.42
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council