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A time-variant version of the commutant lifting theorem and nonstationary interpolation problems

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Abstract

This paper contains a generalization of the commutant lifting theorem to a time-variant setting. The main result, which is called the three chains completion theorem, is used to solve various nonstationary norm constrained interpolation problems.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47405, Bloomington, IN, USA

    C. Foias

  2. School of Aeronautics and Astronautics, Purdue University, 47907, West Lafayette, IN, USA

    A. E. Frazho

  3. Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, 69978, Tel-Aviv, Israel

    I. Gohberg

  4. Faculteit Wiskunde en Informatica, Vrije Universiteit, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands

    M. A. Kaashoek

Authors
  1. C. Foias
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  2. A. E. Frazho
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  3. I. Gohberg
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  4. M. A. Kaashoek
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Foias, C., Frazho, A.E., Gohberg, I. et al. A time-variant version of the commutant lifting theorem and nonstationary interpolation problems. Integr equ oper theory 28, 158–190 (1997). https://doi.org/10.1007/BF01191816

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  • DOI: https://doi.org/10.1007/BF01191816

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