• Corpus ID: 251589521

Bounded perturbations of the Heisenberg commutation relation via dilation theory

@inproceedings{Gerhold2022BoundedPO,
  title={Bounded perturbations of the Heisenberg commutation relation via dilation theory},
  author={M. Gerhold and Orr Shalit},
  year={2022}
}
. We extend the notion of dilation distance to strongly continuous one-parameter unitary groups. If the dilation distance between two such groups is finite, then these groups can be represented on the same space in such a way that their generators have the same domain and are in fact a bounded perturbation of one another. This result extends to d -tuples of one-parameter unitary groups. We apply our results to the Weyl canonical commutation relations, and as a special case we recover the result… 

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