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Central State Space Solutions

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

Abstract

The main purpose of this chapter is to provide explicit state space formulas for the central solutions of the Nevanlinna-Pick, Sarason, Nehari, Nudelman and two block interpolation problems. The reader mainly interested in direct applications of these formulas can assume that the state space X is finite dimensional. The formulas are derived by applying the results in the previous chapter for these concrete cases. The corresponding H and L2 bounds are given. Finally, state space formulas are given for the maximum entropy for some of these problems.

Keywords

Toeplitz Operator Interpolation Problem Hankel Operator Algebraic Riccati Equation Unilateral Shift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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