Compressions of stable contractions

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