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Recent Developments in Operator Theory and Its Applications

International Conference in Winnipeg, October 2–6, 1994

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. I. Gohberg

    1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

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  2. P. Lancaster

    1. Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

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  3. P. N. Shivakumar

    1. Department of Applied Mathematics and Institute of Industrial Mathematical Sciences, University of Manitoba, Winnipeg, Canada

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Part of the book series: Operator Theory: Advances and Applications (OT, volume 87)

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Table of contents (21 papers)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Inverse Scattering Problem for Continuous Transmission Lines with Rational Reflection Coefficient Function

    • Daniel Alpay, Israel Gohberg, Lev Sakhnovich
    Pages 1-16

  3. The Band Method and Grassmannian Approach for Completion and Extension Problems

    • J. A. Ball, I. Gohberg, M. A. Kaashoek
    Pages 17-60

  4. Polar Decompositions in Finite Dimensional Indefinite Scalar Product Spaces: Special Cases and Applications

    • Yuri Bolshakov, Cornelis V. M. van der Mee, André C. M. Ran, Boris Reichstein, Leiba Rodman
    Pages 61-94

  5. Positive Differential Operators in Krein Space L 2(ℝ)

    • Branko Ćurgus, Branko Najman
    Pages 95-104

  6. Elliptic Problems Involving an Indefinite Weight Function

    • M. Faierman, H. Langer
    Pages 105-124

  7. The KDV Hierarchy and Associated Trace Formulas

    • F. Gesztesy, R. Ratnaseelan, G. Teschl
    Pages 125-163

  8. On Spectral Properties of Schrödinger-Type Operator with Complex Potential

    • Edward Grinshpun
    Pages 164-176

  9. Coalgebras and Spectral Theory in One and Several Parameters

    • Luzius Grunenfelder, Tomaž Košir
    Pages 177-192

  10. Destabilization of Infinite-Dimensional Time-varying Systems Via Dynamical Output Feedback

    • Birgit Jacob
    Pages 193-206

  11. Perturbations of G-Selfadjoint Operators and Operator Polynomials with Real Spectrum

    • P. Lancaster, A. Markus, V. Matsaev
    Pages 207-221

  12. Definitizable G-Unitary Operators and their Applications to Operator Polynomials

    • P. Lancaster, A. Markus, V. Matsaev
    Pages 222-232

  13. System Theoretic Aspects of Completely Symmetric Systems

    • Raimund J. Ober
    Pages 233-262

  14. Contractive Completion of Block Matrices and its Application to ℋ∞ Control of Periodic systems

    • Li Qiu, Tongwen Chen
    Pages 263-281

  15. Spline approximation methods for Wiener- Hopf operators

    • Steffen Roch
    Pages 282-308

  16. Inertia Conditions for the Minimization of Quadratic Forms in Indefinite Metric Spaces

    • Ali H. Sayed, Babak Hassibi, Thomas Kailath
    Pages 309-347

  17. Bounds for the Width of the Instability Intervals in the Mathieu Equation

    • P. N. Shivakumar, Qiang Ye
    Pages 348-357

  18. Operator Pencils Arising in Elasticity and Hydrodynamics: The Instability Index Formula

    • A. A. Shkaliko
    Pages 358-385

  19. Toeplitz-Like Operators and their Finite Sections

    • Bernd Silbermann
    Pages 386-398

  20. Spectral Representations and Spectral Functions of Symmetric Operators

    • Abraham V. Strauss
    Pages 399-412
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Keywords

About this book

The present volume contains the proceedings of the International Conference on Ap­ plications of Operator Theory held in Winnipeg, Canada (October 2nd to 6th, 1994), which was organized by the Institute of Industrial Mathematical Sciences (IIMS) of the University of Manitoba. At this conference 92 participants representing 15 countries par­ ticipated, and 64 papers were presented. This meeting was the second of a linked pair. The first was a program of advanced instruction held at the Fields Institute, Ontario, followed by a research conference. The first of these events gave rise to the volume "Lectures on Operator Theory and its Applications", published by the American Mathematical Society for the Fields Institute in 1995. These two events were the creation of the following Program Committee: M. A. Dahleh (M. I. T. ) P. A. Fillmore (Dalhousie) B. A. Francis (Toronto) F. Ghahramani (Manitoba) K. Glover (Cambridge) I. Gohberg (Tel Aviv) T. Kailath (Stanford) P. Lancaster (Calgary), Chair H. Langer (Vienna) P. N. Shivakumar (Manitoba) A. A. Shkalikov (Moscow) B. Simon (Cal. Tech. ) H. Widom (Santa Cruz) Both events focused on the following main topics: Infinite matrices and projection methods, linear operators on indefinite scalar product spaces, differential operators and mathematical systems theory and control. This volume contains a selection of papers in modern operator theory and its appli­ cations. They are dedicated to recent achievements and many are written by leaders in the mentioned fields.

Editors and Affiliations

  • School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

    I. Gohberg

  • Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

    P. Lancaster

  • Department of Applied Mathematics and Institute of Industrial Mathematical Sciences, University of Manitoba, Winnipeg, Canada

    P. N. Shivakumar

Bibliographic Information

  • Book Title: Recent Developments in Operator Theory and Its Applications

  • Book Subtitle: International Conference in Winnipeg, October 2–6, 1994

  • Editors: I. Gohberg, P. Lancaster, P. N. Shivakumar

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-9035-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 1996

  • Hardcover ISBN: 978-3-7643-5413-8Due: 30 May 1996

  • Softcover ISBN: 978-3-0348-9878-2Published: 08 October 2011

  • eBook ISBN: 978-3-0348-9035-9Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XII, 436

  • Topics: Analysis

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