Abstract
This paper presents and solves a weighted interpolation problem which is the nonstationary equivalent of the weighted commutant lifting theorem introduced in [1]. This leads to a weighted version of the three chains interpolation theorem in [3] as well as to a weighted variant of the Carswell—Schubert intertwining extension problem (see [2]).
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References
A. Biswas, C. Foias and A. E. Frazho, Weighted commutant lifting, Acta Sci. Math. (Szeged),65 (1999), 657–686.
J. G. W. Carswell and C. F. Schubert, Lifting of operators that commute with shifts, Mich. Math. J., 22 (1975), 65–69.
C. Foias, A. E. Frazho, I. Gohberg and M. A. Kaashoek, Metric Constrained Interpolation,Commutant Lifting and Systems, Operator Theory: Advances and Applications 100, Birkhìuser, 1998.
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S. Treil and A. Volberg, A fixed point approach to Nehari’s problem and its applications, Operator Theory: Advances and Applications 71, Birkhìuser, 1994, 165–186.
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Biswas, A., Foias, C., Frazho, A.E. (2001). Weighted variants of the Three Chains Completion Theorem. In: Kérchy, L., Gohberg, I., Foias, C.I., Langer, H. (eds) Recent Advances in Operator Theory and Related Topics. Operator Theory: Advances and Applications, vol 127. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8374-0_7
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DOI: https://doi.org/10.1007/978-3-0348-8374-0_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9539-2
Online ISBN: 978-3-0348-8374-0
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