Recent Developments in Operator Theory and Its Applications

1. Front Matter

   Pages I-XI

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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

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.

• Algebra
• Calculation
• Finite
• Hilbert space
• control
• differential equation
• equation
• function
• functional analysis
• operator theory
• proof
• recursion
• systems
• theorem

• 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

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