## Finite rank perturbations of contractions

- D. Timotin
- Integral Equations Operator Theory
- 2003

@inproceedings{Krchy2005CompressionsOS, title={Compressions of stable contractions}, author={L{\'a}szl{\'o} K{\'e}rchy and Vladim{\'i}r M{\"u}ller}, year={2005} }

- Published 2005

The stability of compressions of stable contractions is studied and a sufficient orbit condition is given. On the other hand, it is shown that there are non-stable compressions of the 1-dimensional backward shift and a complete characterization of weighted unilateral shifts with this property is provided. Dilations of bilateral weighted shifts to backward… CONTINUE READING

### Presentations referencing similar topics