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  • © 1990

The Commutant Lifting Approach to Interpolation Problems

Birkhäuser

Part of the book series: Operator Theory: Advances and Applications (OT, volume 44)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Analysis of the Caratheodory Interpolation Problem

    • Ciprian Foias, Arthur E. Frazho
    Pages 1-32
  3. Schur Numbers, Geophysics and Inverse Scattering Problems

    • Ciprian Foias, Arthur E. Frazho
    Pages 53-70
  4. Contractive Expansions on Euclidian and Hilbert Space

    • Ciprian Foias, Arthur E. Frazho
    Pages 71-97
  5. Contractive One Step Intertwining Liftings

    • Ciprian Foias, Arthur E. Frazho
    Pages 99-121
  6. Isometric and Unitary Dilations

    • Ciprian Foias, Arthur E. Frazho
    Pages 123-151
  7. The Commutant Lifting Theorem

    • Ciprian Foias, Arthur E. Frazho
    Pages 153-190
  8. Geometric Applications of the Commutant Lifting Theorem

    • Ciprian Foias, Arthur E. Frazho
    Pages 191-232
  9. H∞ Optimization and Functional Models

    • Ciprian Foias, Arthur E. Frazho
    Pages 233-274
  10. Some Classical Interpolation Problems

    • Ciprian Foias, Arthur E. Frazho
    Pages 275-326
  11. Interpolation as a Momentum Problem

    • Ciprian Foias, Arthur E. Frazho
    Pages 327-342
  12. Numerical Algorithms for H∞ Optimization in Control Theory

    • Ciprian Foias, Arthur E. Frazho
    Pages 343-365
  13. Inverse Scattering Algorithms for the Commutant Lifting Theorem

    • Ciprian Foias, Arthur E. Frazho
    Pages 367-426
  14. The Schur Representation

    • Ciprian Foias, Arthur E. Frazho
    Pages 427-495
  15. A Geometric Approach to Positive Definite Sequences

    • Ciprian Foias, Arthur E. Frazho
    Pages 497-546
  16. Positive Definite Block Matrices

    • Ciprian Foias, Arthur E. Frazho
    Pages 547-586
  17. A Physical Basis for the Layered Medium Model

    • Ciprian Foias, Arthur E. Frazho
    Pages 587-598
  18. Back Matter

    Pages 599-632

Authors and Affiliations

  • Department of Mathematics, Indiana University, Bloomington, USA

    Ciprian Foias

  • School of Aeronautics and Astronautics, Purdue University, West Lafayette, USA

    Arthur E. Frazho

Bibliographic Information

  • Book Title: The Commutant Lifting Approach to Interpolation Problems

  • Authors: Ciprian Foias, Arthur E. Frazho

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-7712-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1990

  • Softcover ISBN: 978-3-0348-7714-5Published: 03 October 2013

  • eBook ISBN: 978-3-0348-7712-1Published: 11 November 2013

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XXIII, 632

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access