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Proofs of the Nonstationary Interpolation Theorems by Reduction to the Stationary Case

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Metric Constrained Interpolation, Commutant Lifting and Systems

Part of the book series: Operator Theory Advances and Applications ((OT,volume 100))

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Abstract

In this chapter the nonstationary theorems stated in Chapter VIII are proved by using the reduction technique developed in the previous chapter. In each case the main point is to show that the nonstationary interpolation problem is equivalent to a stationary one, and hence can be solved by using the corresponding result of the stationary case.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Rawles Hall, 47405-5701, Bloomington, IN, USA

    C. Foias

  2. Department of Aeronautics, Purdue University, Main Campus, 47907, West Lafayette, IN, USA

    A. E. Frazho

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

    I. Gohberg

  4. Dept. of Mathematics and Computer Science, Vrije Universiteit Amsterdam, De Boelelaan 82, 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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© 1998 Springer Basel AG

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Foias, C., Frazho, A.E., Gohberg, I., Kaashoek, M.A. (1998). Proofs of the Nonstationary Interpolation Theorems by Reduction to the Stationary Case. In: Metric Constrained Interpolation, Commutant Lifting and Systems. Operator Theory Advances and Applications, vol 100. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8791-5_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8791-5_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9775-4

  • Online ISBN: 978-3-0348-8791-5

  • eBook Packages: Springer Book Archive

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