Row Contractions Annihilated by Interpolating Vanishing Ideals

@article{Clouatre2019RowCA,
  title={Row Contractions Annihilated by Interpolating Vanishing Ideals},
  author={Raphael Clouatre and Edward J. Timko},
  journal={International Mathematics Research Notices},
  year={2019}
}
We study similarity classes of commuting row contractions annihilated by what we call higher-order vanishing ideals of interpolating sequences. Our main result exhibits a Jordan-type direct sum decomposition for these row contractions. We illustrate how the family of ideals to which our theorem applies is very rich, especially in several variables. We also give two applications of the main result. First, we obtain a purely operator theoretic characterization of interpolating sequences for the… 
2 Citations

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