References
W. Arveson. Interpolation problems in nest algebras, J. Funct. Anal. 20 (1975), 208–233.
J. Ball, Models for non-contractions, Jour. Math. Anal. and Appl. 52 (1975), 235–254.
J. Ball, Unitary Perturbations of Contractions, Dissertation, University of Virginia, 1973.
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.
L. de Branges, Square Summable Power Series (2nd Ed.), forthcoming.
L. de Branges and J. Rovnyak, Square Summable Power Series, Holt, Rinehart and Winston, New York, 1966.
—, 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.
M. Cambern, Invariant subspaces and extremum problems in spaces of vector-valued functions, Jour. Math. Anal. and Appl. 57 (1977), 290–297.
W. Donoghue, Jr., Monotone Matrix Functions and Analytic Continuation, Springer-Verlag, New York, 1974.
R. Douglas, On factoring positive operator functions, J. Math. Mech. 16 (1966), 119–126.
P. Fillmore and J. Williams, On operator ranges, Advances in Math. 7, (1971), 254–281.
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.
K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Engelwood Cliffs, NJ (1962).
T. Kriete, Canonical models and the self-adjoint parts of dissipative operators, Jour. Funct. Anal. 23 (1976), 39–94.
—, Similarity of canonical models, Bull. Amer. Math. Soc. 76 (1970), 326–330.
M. Rosenblum, A corona theorem for countably many functions, Integral Eqns. and Op. Theory, 3 (1980), 125–137.
D. E. Sarason, Shift invariant subspaces from the Brangesian point of view, forthcoming.
D. E. Sarason, Doubly shift invariant subspaces in H2, forthcoming.
B. Sz.-Nagy and C. Foias, Harmonic Analysis of Operators in Hilbert Space, American Elsevier, New York, 1970.
—, On the structure of intertwining operators, Acta Sci. Math. (Szeged) 35 (1973), 225–254.
Author information
Authors and Affiliations
Additional information
This research supported in part by the National Science Foundation.
Rights 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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01199793