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

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. Cover......Page 1 Title Page......Page 4 Copyright page......Page 5 Contents......Page 6 Preface......Page 8 List of participants......Page 10 Program of the conference......Page 13 On closed operator algebras generated by analytic functional calculi......Page 18 A conjecture concerning the pure states of B(H) and a related theorem......Page 28 A C*-algebra approach to the Cowen-Douglas theory......Page 46 On periodic distribution groups......Page 54 On the smoothness of elements of Ext......Page 64 Triviality theorems for Hilbert modules......Page 72 Exact controllability and spectrum assignment......Page 82 Generalized derivations......Page 96 Commutants modulo the compact operators of certain CSL algebras......Page 106 Similarity of operator blocks and canonical forms. II: Infinite dimensional case and Wiener-Hopf factorization......Page 122 Unitary orbits of power partial isometries and approximation by block-diagonal nilpotents......Page 172 Isomorphisms of the automorphism groups of type II factors......Page 212 The spectral residuum for each closed operator......Page 222 Two applications of Hankel operators......Page 240 A Rohlin type theorem for groups on von Neumann algebras......Page 248 Derivations of C*-alqebras which are invariant under an automorphism group......Page 260 Remarks on ideals of the Calkin- -algebra for certain singular extensions......Page 270 Modelling by L^2-bounded analytic functions......Page 280 The maximal function of doubly commuting contractions......Page 296 Remarks on Hilbert-Schmidt perturbations of almost normal operators......Page 312 Derivation ranges: open problems......Page 320 Problem list......Page 330 Back Cover......Page 337