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Parameterization of All Solutions of the Three Chains Completion Problem

  • C. Foias
  • A. E. Frazho
  • I. Gohberg
  • M. A. Kaashoek
Chapter
Part of the Operator Theory Advances and Applications book series (OT, volume 100)

Abstract

In this chapter it is shown that the set of all solutions of the three chains completion problem with a prescribed tolerance is parameterized by a natural set of contractive upper triangular operators. The result is used to derive the set of all solutions of a nonstationary Nehari problem with the data being given in state space form.

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Copyright information

© Springer Basel AG 1998

Authors and Affiliations

  • C. Foias
    • 1
  • A. E. Frazho
    • 2
  • I. Gohberg
    • 3
  • M. A. Kaashoek
    • 4
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of AeronauticsPurdue UniversityWest LafayetteUSA
  3. 3.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
  4. 4.Dept. of Mathematics and Computer ScienceVrije Universiteit AmsterdamAmsterdamThe Netherlands

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