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Operator Theory and Interpolation

International Workshop on Operator Theory and Applications, IWOTA 96

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Hari Bercovici

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

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    You can also search for this editor in PubMed   Google Scholar

  2. Ciprian I. Foias

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

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Operator Theory: Advances and Applications (OT, volume 115)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Classical Nevanlinna-Pick Interpolation with Real Interpolation Points

    • Daniel Alpay, Aad Dijksma, Heinz Langer
    Pages 1-50

  3. The Abstract Interpolation Problem and Commutant Lifting: A Coordinate-free Approach

    • Joseph A. Ball, Tavan T. Trent
    Pages 51-83

  4. On Classes of Realizable Operator-valued R-functions

    • S. V. Belyi, E. R. Tsekanovskii
    Pages 85-112

  5. Submodules of L2(\( \mathbb{T} \) N)

    • Douglas N. Clark, Sarah H. Ferguson
    Pages 113-122

  6. Kolmogorov Decompositions and the Realization of Time Dependent Systems

    • Tiberiu Constantinescu, Aurelian Gheondea
    Pages 123-144

  7. Hankel Forms and Operators in Hardy Spaces with Two Szegö Weights

    • Mischa Cotlar, Cora Sadosky
    Pages 145-162

  8. The Structured Norm of a Hilbert Space Operator with respect to a Given Algebra of Operators

    • Avraham Feintuch, Alexander Markus
    Pages 163-183

  9. Order Preserving Operator Function via Furuta Inequality “A ≥ B ≥ 0 Ensures for \( \left( {A^{\frac{r} {2}} A^P A^{\frac{r} {2}} } \right)^{\frac{{1 + r}} {{p + r}}} \geqslant \left( {A^{\frac{r} {2}} B^p A^{\frac{r} {2}} } \right)^{\frac{{1 + r}} {{p + r}}} \) for p≥1 and r≥0”

    • Takayuki Furuta, Takeaki Yamazaki, Masahiro Yanagida
    Pages 185-194

  10. On a Nonlinear Causal Commutant Lifting Theorem

    • Caixing Gu
    Pages 195-212

  11. Parametrization of Solutions of the Nehari Problem and Nonorthogonal Dynamics

    • A. Kheifets
    Pages 213-233

  12. On Zeros of Defining Functions for some Hilbert Spaces of Polynomials

    • Xian-Jin Li
    Pages 235-243

  13. One or Two Parameter Algebraic Scattering Systems and the Commutant Lifting Theorem

    • MarĂ­a Dolores Morán
    Pages 245-253

  14. On Interpolation Problems in the Complex Right Half Plane

    • M. J. Smith, A. E. Frazho
    Pages 255-267

  15. Maximum Entropy Truncable Positive Definite Sequences of Analytic Toeplitz Operators

    • Ion Suciu
    Pages 269-296

  16. Subdecomposable Operators and Rationally Invariant Subspaces

    • Lawrence R. Williams
    Pages 297-309
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Keywords

About this book

Systems and control theories use sophisticated operator theoretical methods. They also provide new ideas and problems in operator theory. As a consequence, the biannual MTNS (Mathematical Theory of Networks and Systems) conference is attended by many operator theorists. At the initiative of J.W. Helton and I. Gohberg, an International Workshop on Operator Theory and Applications (IWOTA) has been organized since the early 80s, as a satellite of MTNS. The articles in this volume originated from the IWOTA conference held at Indiana University, Bloomington, in June 1996. They represent most of the areas that were discussed at the workshop with some emphasis on modern interpolation theory, a topic which has seen much progress in recent years. The contributions were, as usual, subject to a thorough refereeing process and will bring the reader to the forefront of current research in this area.

Editors and Affiliations

  • Department of Mathematics, Indiana University, Bloomington, USA

    Hari Bercovici, Ciprian I. Foias

Bibliographic Information

  • Book Title: Operator Theory and Interpolation

  • Book Subtitle: International Workshop on Operator Theory and Applications, IWOTA 96

  • Editors: Hari Bercovici, Ciprian I. Foias

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8422-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2000

  • Hardcover ISBN: 978-3-7643-6229-4Published: 14 February 2000

  • Softcover ISBN: 978-3-0348-9560-6Published: 30 October 2012

  • eBook ISBN: 978-3-0348-8422-8Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VII, 309

  • Topics: Analysis

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