Partial orders on partial isometries

@article{Garcia2015PartialOO,
  title={Partial orders on partial isometries},
  author={S. Garcia and Robert T. W. Martin and W. Ross},
  journal={arXiv: Functional Analysis},
  year={2015}
}
This paper studies three natural pre-orders of increasing generality on the set of all completely non-unitary partial isometries with equal defect indices. We show that the problem of determining when one partial isometry is less than another with respect to these pre-orders is equivalent to the existence of a bounded (or isometric) multiplier between two natural reproducing kernel Hilbert spaces of analytic functions. For large classes of partial isometries these spaces can be realized as the… Expand
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