Ebook: Recent Advances in Operator Theory, Operator Algebras, and their Applications: XIXth International Conference on Operator Theory, Timişoara (Romania), 2002

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.

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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.

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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.

Content:
Front Matter....Pages i-xvi
On Existence of Solutions of Semilinear Impulsive Functional Differential Equations with Nonlocal Conditions....Pages 1-11
On Banach-Lie Algebras, Spectral Decompositions and Complex Polarizations....Pages 13-38
Commuting Triples of Subnormal Operators and Related Moment Problems....Pages 39-59
The Equality of the Reduced and the Full C*-Algebras and the Amenability of a Topological Groupoid....Pages 61-78
Generalized Toeplitz Operators and Cyclic Vectors....Pages 79-101
Statistical Properties of Disordered Quantum Systems....Pages 103-122
On Operator Periodically Correlated Random Fields....Pages 123-141
Weighted Composition Operators on Hardy and Bergman Spaces....Pages 143-156
Integral Transforms Controlled by Maximal Functions....Pages 157-167
Uniform Exponential Dichotomy and Admissibility for Linear Skew-Product Semiflows....Pages 169-184
On a Class of Stochastic Integral Operators of McShane Type....Pages 185-195
Regularized Traces of Differential Operators....Pages 197-209
Irreducible Subfactors Derived from Popa’s Construction for Non-Tracial States....Pages 211-227
The Structure of some C*-Algebras Generated by N Idempotents....Pages 229-247
Transfer Functions for “Curved” Conservative Systems....Pages 249-254
On the Distance between an Operator and an Ideal....Pages 255-264
The Gamma Element for Groups which Admit a Uniform Embedding into Hilbert Space....Pages 265-270
Uniform Exponential Stability and Uniform Observability of Time-Varying Linear Stochastic Systems in Hilbert Spaces....Pages 271-286
Semiclassical Weyl Formula for Elliptic Operators with Non-Smooth Coefficients....Pages 287-306
....Pages 307-320