Topics in Modern Operator Theory: 5th International Conference on Operator Theory, Timişoara and Herculane (Romania), June 2-12, 1980

ISBN-13: 9783764312442 / Angielski / Miękka / 1981 / 336 str.

Constantin;Douglas;Nagy

Opis

The first of the annual Operator Theory conferences in Ti- mi oara held four years ago was a meeting of operator theory spe- cialists from the National Institute for Scientific and Techni- cal Creation in Bucharest and from the University of Timi oara. Since then, the participation to these conferences has greatly increased, by being attended first by operator theorists from allover the country and (since 1978) by an increasing number of foreign mathematicians. Thus the 1980 Conference can be regarded as a truly international Operator Theory meeting, fifteen coun- tries being represented at it. These conferences are conceived as a means to promote the cooperation between specialists in all areas of Operator Theory. Among the main topics in 1980 were: dilation theory, invariant subspaces, connections with the theory of cX-algebras, subnormal operators, multidimensional functional calculus etc. Though not included in this volume, we would like to mention that in 1980 some special sessions concerning other fields of Functional Ana- lysis were organized at the Operator Theory conference. The research contracts of the Department of Mathematics of INCREST with the National Council for Sciences and Technoloa, y of Romania provided the means for developping the research activi- ty in Functional Analysis; these contracts constitute the gene- rous framework for these meetings.

Spis treści

On Closed Operator Algebras Generated by Analytic Functional Calculi.- A Conjecture Concerning the Pure States of B(H) and a Related Theorem.- A C*-Algebra Approach to the Cowen-Douglas Theory.- On Periodic Distribution Groups.- On the Smoothness of Elements of Ext.- Triviality Theorems for Hilbert Modules.- Exact Controllability and Spectrum Assignment.- Generalized Derivations.- Commutants Modulo the Compact Operators of Certain CSL Algebras.- Similarity of Operator Blocks and Canonical Forms. II. Infinite Dimensional Case and Wiener-Hopf Factorization.- Unitary Orbits of Power Partial Isometries and Approximation by Block-Diagonal Nilpotents.- Isomorphisms of Automorphism Groups of Type II Factors.- A Spectral Residuum for Each Closed Operator.- Two Applications of Hankel Operators.- A Rohlin Type Theorem for Groups Acting on von Neumann Algebras.- Derivations of C*-Algebras which Are Invariant Under an Automorphism Group.- Remarks on Ideals of the Calkin-Algebra for Certain Singular Extensions.- Modelling by L2-Bounded Analytic Functions.- The Maximal Function of Doubly Commuting Contractions.- Remarks on Hilbert-Schmidt Perturbations of Almost — Normal Operators.- Derivation Ranges: Open Problems.