Titlebook: Recent Developments in Operator Theory and Its Applications; International Confer I. Gohberg,P. Lancaster,P. N. Shivakumar Conference proce

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Bounds for the Width of the Instability Intervals in the Mathieu Equation,on. using techniques of infinite matrices. The results are in agreement with the asymptotic approximations given by Avran and Simon [3] and with those of Hochstadt [5] who used continued fraction techniques.

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Operator Pencils Arising in Elasticity and Hydrodynamics: The Instability Index Formula,at . are selfadjoint and boundedly invertible and . ≥ 0,. are symmetric and .-bounded. Pencils of this form arise as abstract models for concrete problems in elastisity and hydrodynamics. We investigate the relations between the classical and generalized spectra and under additional hypotheses prove

Critical

Spectral Representations and Spectral Functions of Symmetric Operators,pace of pairs of vectorvalued functions holomorphic on the upper and lower half- planes. Each generalized spectral function of the same symmetric operator leads to its realization in form of a multiplication operator by a real variable in some Hilbert space. We study the connection between such real

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0255-0156 ctober 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

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Inverse Scattering Problem for Continuous Transmission Lines with Rational Reflection Coefficient FIn this paper we obtain explicit formula for the reflexivity coefficient function (or potential) of an ordinary differential operator if its reflection coefficient is a rational matrix valued function. The solution is given in terms of a realization of the reflection coefficient function.

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Toeplitz-Like Operators and their Finite Sections,This article is aimed at the study of norm-stability of finite sections for Toeplitzlike operators with piecewise continuous operator-valued coefficients. Further asymptotic problems are discussed.

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