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The Commutant Lifting Approach to Interpolation Problems

  • Book
  • © 1990

Overview

Authors:
  1. Ciprian Foias

    1. Department of Mathematics, Indiana University, Bloomington, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Arthur E. Frazho

    1. School of Aeronautics and Astronautics, Purdue University, West Lafayette, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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
    Download chapter PDF

  2. Analysis of the Caratheodory Interpolation Problem

    • Ciprian Foias, Arthur E. Frazho
    Pages 1-32

  3. Analysis of the Caratheodory Interpolation Problem for Positive-Real Functions

    • Ciprian Foias, Arthur E. Frazho
    Pages 33-52

  4. Schur Numbers, Geophysics and Inverse Scattering Problems

    • Ciprian Foias, Arthur E. Frazho
    Pages 53-70

  5. Contractive Expansions on Euclidian and Hilbert Space

    • Ciprian Foias, Arthur E. Frazho
    Pages 71-97

  6. Contractive One Step Intertwining Liftings

    • Ciprian Foias, Arthur E. Frazho
    Pages 99-121

  7. Isometric and Unitary Dilations

    • Ciprian Foias, Arthur E. Frazho
    Pages 123-151

  8. The Commutant Lifting Theorem

    • Ciprian Foias, Arthur E. Frazho
    Pages 153-190

  9. Geometric Applications of the Commutant Lifting Theorem

    • Ciprian Foias, Arthur E. Frazho
    Pages 191-232

  10. H∞ Optimization and Functional Models

    • Ciprian Foias, Arthur E. Frazho
    Pages 233-274

  11. Some Classical Interpolation Problems

    • Ciprian Foias, Arthur E. Frazho
    Pages 275-326

  12. Interpolation as a Momentum Problem

    • Ciprian Foias, Arthur E. Frazho
    Pages 327-342

  13. Numerical Algorithms for H∞ Optimization in Control Theory

    • Ciprian Foias, Arthur E. Frazho
    Pages 343-365

  14. Inverse Scattering Algorithms for the Commutant Lifting Theorem

    • Ciprian Foias, Arthur E. Frazho
    Pages 367-426

  15. The Schur Representation

    • Ciprian Foias, Arthur E. Frazho
    Pages 427-495

  16. A Geometric Approach to Positive Definite Sequences

    • Ciprian Foias, Arthur E. Frazho
    Pages 497-546

  17. Positive Definite Block Matrices

    • Ciprian Foias, Arthur E. Frazho
    Pages 547-586

  18. A Physical Basis for the Layered Medium Model

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

  19. Back Matter

    Pages 599-632
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Keywords

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

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