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

This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in 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. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Résumé
The Romanian conferences in operator theory, as they are now commonly called, havestartedintheyear1976asanannualworkshoponoperatortheoryheldatthe University of Timi¸ soara, originally only with Romanian attendance. The meeting soon evolved into an international conference, with an increasingly larger parti- pation. It has been organized jointly, initially by the Department of Mathematics of INCREST and by the Faculty of Sciences of the University of Timi¸ soara, then (since 1990) by the Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timi¸ soara. The venue was u- ally Timi¸ soara (and, occasionally, Herculane, Bucharest or Predeal). Since 1986 the conference has been regularly held biannually at the beginning of the summer. The 19th Conference on Operator Theory (OT 19) took place between June 27th and July 2nd 2002, at the West University of Timi¸ soara. It is a pleasure to acknowledge the considerable ?nancial support received through the p- gramme EURROMMAT of the European Community, under contract ICA1-CT- 2000-70022. Partial support has also been provided by the Romanian Ministry of Education, Research and Youth, grants CERES 152/2001 and 153/2001. The full programme of the conference is included in the sequel. It is worth mentioning also a special event that has taken place during the conference: p- fessor Israel Gohberg has been awarded the title of Doctor Honoris Causa of the West University of Timi¸ soara.

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.