Abstract
In this note, we prove a harmonic-type maximal principle for the Schur parametrization of all intertwining liftings of an intertwining contraction in the commutant lifting theorem.
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References
Gr. Arsene, Z. Ceausescu andC. Foias,On intertwining dilations VIII, J. Operator Theory4 (1980), 55–91
M. Bakonyi A Remark On Nehari's Problem, Integral Equations and Operator Theory,22 (1995), 123–125.
C. Foias andA. E. Frazho,The Commutant Lifting Approach to Interpolation Problems, Operator Theory: Advances and Applications44, Birkhauser, Boston, 1990.
C. Foias andA. E. Frazho,Constructing The Schur Contractions in The Commutant Lifting Theorem, Acta Sci. Math. (Szeged)61 (1995), 425–442
C. Foias andA. E. Frazho,On the Schur Representation in the commutant lifting Theorem I; II, Schur Methods in Operator Theory and Signal Processing; Operator Theory: Adv. and Appl.18 (1986), 207–217;Topics in Operator Theory and Interpolation; Operator Theory: Adv. and Appl.,29 (1988), 171–179.
C. Foias, A. E. Frazho, M. A. Kaashoek andI. Gohberg,Metric constrained interpolation, Commutant Lifting and Systems, (in preparation).
C. Foias, A. E. Frazho andW. S. Li The exact H 2 estimate for the central H ∞ interpolant, Operator Theory: Advances and Applications,64 (1993), 119–156.
D. Sarason,Generalized Interpolation in H ∞, Trans. Amer. Math. Soc.26 (1965), 289–299.
B. Sz.-Nagy andC. Foias,Harmonic Analysis of Operators on Hilbert space, North Holland Publishing Co- Akademiai Kiado, Amsterdam-Budapest, 1970
B. Sz.-Nagy andC. Foias,Dilations des commutants d'opérateurs, C.R. Acad. Sci. Paris, Série A,266 (1968), 493–495.