This volume presents the Proceedings of the joint US/Israel Workshop on Operator Theory and its Applications, held in February 1992 at the Ben Gurion University of the Negev. The volume contains a selection of papers covering a wide range of topics in modern operator theory and its applications, from abstract operator theory, to system theory and computers in operator models. The papers treat linear and nonlinear problems, and study operators from different abstract and concrete classes. It is suitable for both pure and applied mathematicians, and engineers.

Table of Contents:
Part 1 Joint spectrum and discriminant varieties of commuting nonselfadjoint operators, M.S. Livsic and A.S. Markus: introduction; joint spectra of commuting operators with compact imaginary parts; colligations and vessels; the discriminant varieties; references. Part 2 On the differential structure of matrix-valued rational inner functions, D. Alpay et al: introduction and preliminaries; the differential structure of Ipn; charts using Schur algorithm; conclusion; references. Part 3 Conservative dynamical systems and nonlinear Livsic-Brodskii nodes, J.A. Ball: introduction; conservative systems; nonlinear Livsic-Brodskii nodes - models for a given dynamics up to energy preserving diffeomorphic change of variable; other partitionings of the cast of characters into knowns and unknowns; references. Part 4 Orthogonal polynomials over Hilbert modules, A. Ben-Artzi and I Gohberg: introduction; orthogonalization with invertible squares; preliminaries on inertia theorems for unilateral shifts; the main result; references. Part 5 Relations of linking and duality between symmetric gauge functions, R. Bhatia and C. Davis: introduction; linked symmetric gauge functions; quotient of symmetric gauge functions; q-norms; references. Part 6 Julia operators and coefficient problems, G. Christner et al: introduction; Julia operators for triangular matrices; multiplication transformations on power series; extension problem for substitution transformations; appendix - formal algebra; references. Part 7 Shifts, realizations and interpolation, redux, H. Dym: introduction; formulas and facts; R-alpha variance; realizations; reproducing kernel spaces; H(S) spaces; a basic interpolation problem; factorization and recursive methods; characteristic functions; references. Part 8 Arveson's distance formulae and robust stabilization for linear time-varying systems, A. Feintuch: introduction; preliminaries; stabilization and proper representations; robust stabilization - proper representation uncertainty; gap metric robustness; bibliography. Part 9 Entire cyclic cohomology of Banach algebras, P. Fillmore and M. Khalkhali. Part 10 The bounded real characteristic function and Nehari extensions, P.A. Fuhrmann. Part 11 On isometric isomorphism between the second dual to the "small" Lipschitz space and the "big" Lipschitz space, L. Hanin. Part 12 Rules for computer simplification of the formulas in operator model theory and linear systems, J.W. Helton and J.J. Wavrik. Part 13 Some global properties of fractional-linear transformations, V. Khatskevich. Part 14 Boundary values of Berezin symbols, E. Nordgren and P. Rosenthal. Part 15 Generalized Hermite polynomials and the bose-like oscillator calculus, M. Rosenblum. Part 16 A general theory of sufficient collections of norms with a prescribed semigroup of contractions, N. Zobin and V. Zobina.