Skip to main content
Log in

Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. W. Arveson. Interpolation problems in nest algebras, J. Funct. Anal. 20 (1975), 208–233.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. Ball, Models for non-contractions, Jour. Math. Anal. and Appl. 52 (1975), 235–254.

    Article  MATH  Google Scholar 

  3. J. Ball, Unitary Perturbations of Contractions, Dissertation, University of Virginia, 1973.

  4. L. de Branges, Appendix on square summable power series, The expansion theorem for Hilbert spaces of entire functions, Entire Functions and Related Parts of Analysis, Proc. Symp. Pure Math., Vol. XI, Amer. Math. Soc., Providence, RI, 1968.

  5. L. de Branges, Square Summable Power Series (2nd Ed.), forthcoming.

  6. L. de Branges and J. Rovnyak, Square Summable Power Series, Holt, Rinehart and Winston, New York, 1966.

    MATH  Google Scholar 

  7. —, Appendix on square summable power series, Canonical models in quantum scattering theory, Perturbation Theory in Quantum Mechanics (C. M. Wilcox, ed.), Wiley, New York, 1966.

    Google Scholar 

  8. M. Cambern, Invariant subspaces and extremum problems in spaces of vector-valued functions, Jour. Math. Anal. and Appl. 57 (1977), 290–297.

    Article  MATH  MathSciNet  Google Scholar 

  9. W. Donoghue, Jr., Monotone Matrix Functions and Analytic Continuation, Springer-Verlag, New York, 1974.

    Book  MATH  Google Scholar 

  10. R. Douglas, On factoring positive operator functions, J. Math. Mech. 16 (1966), 119–126.

    MATH  MathSciNet  Google Scholar 

  11. P. Fillmore and J. Williams, On operator ranges, Advances in Math. 7, (1971), 254–281.

    Article  MATH  MathSciNet  Google Scholar 

  12. C. Foias, Some applications of structural models for operators on Hilbert space, Actes du Congrès International des Mathématiciens 1970, Vol. 2, Gauthier-Villars, Paris, 1971.

    Google Scholar 

  13. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Engelwood Cliffs, NJ (1962).

    MATH  Google Scholar 

  14. T. Kriete, Canonical models and the self-adjoint parts of dissipative operators, Jour. Funct. Anal. 23 (1976), 39–94.

    Article  MATH  MathSciNet  Google Scholar 

  15. —, Similarity of canonical models, Bull. Amer. Math. Soc. 76 (1970), 326–330.

    Article  MATH  MathSciNet  Google Scholar 

  16. M. Rosenblum, A corona theorem for countably many functions, Integral Eqns. and Op. Theory, 3 (1980), 125–137.

    Article  MATH  MathSciNet  Google Scholar 

  17. D. E. Sarason, Shift invariant subspaces from the Brangesian point of view, forthcoming.

  18. D. E. Sarason, Doubly shift invariant subspaces in H2, forthcoming.

  19. B. Sz.-Nagy and C. Foias, Harmonic Analysis of Operators in Hilbert Space, American Elsevier, New York, 1970.

    Google Scholar 

  20. —, On the structure of intertwining operators, Acta Sci. Math. (Szeged) 35 (1973), 225–254.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research supported in part by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ball, J.A., Kriete, T.L. Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators. Integr equ oper theory 10, 17–61 (1987). https://doi.org/10.1007/BF01199793

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01199793

Keywords

Navigation