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Central Commutant Lifting

  • 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

This chapter is devoted to the commutant lifting theorem. A distinguished solution, called the central intertwining lifting, is singled out. The special properties of this central solution concern maximum entropy and mixed H and L2 bounds. Explicit formulas for the central intertwining lifting are given in different settings. As a first application an explicit solution of the operator-valued Schur problem is given.

Keywords

Orthogonal Projection Invariant Subspace Toeplitz Operator Interpolation Problem Open Unit Disc 
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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