Distinguished Varieties

@inproceedings{Agler2005DistinguishedV,
  title={Distinguished Varieties},
  author={Jim Agler and John E. McCarthy},
  year={2005}
}
A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We show that Andô’s inequality for commuting matrix contractions can be sharpened to looking at the maximum modulus on a distinguished variety, not the whole bidisk. We show that uniqueness sets for extremal Pick problems on the bidisk always contain a distinguished variety. 
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
15 Citations
26 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 26 references

Pick Interpolation and Hilbert Function Spaces

  • J. Agler, J. E. McCarthy
  • American Mathematical Society, Providence
  • 2002
1 Excerpt

Hardy spaces on a finite bordered Riemann surface

  • J. A. Ball, V. Vinnikov
  • multivariable operator theory and Fourier…
  • 2000

Andô’s theorem and sums of squares

  • B. J. Cole, J. Wermer
  • Indiana Math. J., 48:767–791
  • 1999
1 Excerpt

Unitary colligations

  • J. A. Ball, T. T. Trent
  • reproducing kernel Hilbert spaces, and Nevanlinna…
  • 1998
2 Excerpts

Theorem of commuting nonselfadjoint operators

  • M. S. Livsic, N. Kravitsky, A. S. Markus, V. Vinnikov
  • Kluwer, Dordrecht
  • 1995

Pick interpolation

  • B. J. Cole, J. Wermer
  • von Neumann inequalities, and hyperconvex sets…
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…