Recent Advances in Operator Theory, Operator Algebras, and their Applications

This book consists of a careful selection of peer-reviewed articles originating from the 19th International Conference on Operator Theory, held in Timisoara in Summer 2002. It contains recent developments covering a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory.

Broad range of contributions from operator theory, operator algebras and their applications Covering a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, holomorphic operator functions, interpolation problems, and system theory

Contenu
On Existence of Solutions of Semilinear Impulsive Functional Differential Equations with Nonlocal Conditions.- On Banach-Lie Algebras, Spectral Decompositions and Complex Polarizations.- Commuting Triples of Subnormal Operators and Related Moment Problems.- The Equality of the Reduced and the Full C-Algebras and the Amenability of a Topological Groupoid.- ?-Numerical Radius in Banach Spaces.- Generalized Toeplitz Operators and Cyclic Vectors.- Statistical Properties of Disordered Quantum Systems.- On Operator Periodically Correlated Random Fields.- Weighted Composition Operators on Hardy and Bergman Spaces.- Integral Transforms Controlled by Maximal Functions.- Uniform Exponential Dichotomy and Admissibility for Linear Skew-Product Semiflows.- On a Class of Stochastic Integral Operators of McShane Type.- Regularized Traces of Differential Operators.- Irreducible Subfactors Derived from Popa's Construction for Non-Tracial States.- The Structure of some C-Algebras Generated by N Idempotents.- Transfer Functions for Curved Conservative Systems.- On the Distance between an Operator and an Ideal.- The Gamma Element for Groups which Admit a Uniform Embedding into Hilbert Space.- Uniform Exponential Stability and Uniform Observability of Time-Varying Linear Stochastic Systems in Hilbert Spaces.- B(H)-Commutators: A Historical Survey.- Semiclassical Weyl Formula for Elliptic Operators with Non-Smooth Coefficients.