Ebook: Recent Developments in Operator Theory and Its Applications: International Conference in Winnipeg, October 2–6, 1994

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.

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This volume presents the proceedings of the International Conference on Applications of Operator Theory held in Winnipeg, Canada, October 2–6, 1994. The papers selected for publication here – many of which have been written by leaders in the field – bring readers up to date on recent achievements in modern operator theory and applications. Much space is devoted to the theory of operators on indefinite scalar product spaces and its applications. Infinite matrices and projection methods, differential operators, and mathematical systems theory and control are the other main topics covered. The subject matter of the book is of practical use to a wide audience in mathematical and engineering sciences.

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This volume presents the proceedings of the International Conference on Applications of Operator Theory held in Winnipeg, Canada, October 2–6, 1994. The papers selected for publication here – many of which have been written by leaders in the field – bring readers up to date on recent achievements in modern operator theory and applications. Much space is devoted to the theory of operators on indefinite scalar product spaces and its applications. Infinite matrices and projection methods, differential operators, and mathematical systems theory and control are the other main topics covered. The subject matter of the book is of practical use to a wide audience in mathematical and engineering sciences.

Content:
Front Matter....Pages I-XI
Inverse Scattering Problem for Continuous Transmission Lines with Rational Reflection Coefficient Function....Pages 1-16
The Band Method and Grassmannian Approach for Completion and Extension Problems....Pages 17-60
Polar Decompositions in Finite Dimensional Indefinite Scalar Product Spaces: Special Cases and Applications....Pages 61-94
Elliptic Problems Involving an Indefinite Weight Function....Pages 95-104
The KDV Hierarchy and Associated Trace Formulas....Pages 105-124
On Spectral Properties of Schr?dinger-Type Operator with Complex Potential....Pages 125-163
Coalgebras and Spectral Theory in One and Several Parameters....Pages 164-176
Destabilization of Infinite-Dimensional Time-varying Systems Via Dynamical Output Feedback....Pages 177-192
Perturbations of G-Selfadjoint Operators and Operator Polynomials with Real Spectrum....Pages 193-206
Definitizable G-Unitary Operators and their Applications to Operator Polynomials....Pages 207-221
System Theoretic Aspects of Completely Symmetric Systems....Pages 222-232
Contractive Completion of Block Matrices and its Application to ?? Control of Periodic systems....Pages 233-262
Spline approximation methods for Wiener- Hopf operators....Pages 263-281
Inertia Conditions for the Minimization of Quadratic Forms in Indefinite Metric Spaces....Pages 282-308
Bounds for the Width of the Instability Intervals in the Mathieu Equation....Pages 309-347
Operator Pencils Arising in Elasticity and Hydrodynamics: The Instability Index Formula....Pages 348-357
Toeplitz-Like Operators and their Finite Sections....Pages 358-385
Spectral Representations and Spectral Functions of Symmetric Operators....Pages 386-398
Hankel Type Operators, Bourgain Algebras, and Isometries....Pages 399-412
Back Matter....Pages 413-418
Effective Computation of Operators Defined by Line Integrals....Pages 432-436
....Pages 419-431