Foreword.- List of participants.- Programme of the conference.- Asymptotic properties for positive Toeplitz matrices and operators.- Multicyclic systems of commuting operators.- Regular J-inner matrix-functions and related continuation problems.- Spectral analysis for simply characteristic operators by Mourre’s method. I.- Noncommutative uniform algebras.- Operator theory in Krein spaces and operator pencils.- Extensions of groups and simple C*-algebras.- The Krein space (?H2)? and coefficients of analytic functions.- Completions and extensions.- Operator factorizations and quasi-similarity orbits.- Multiplication operators on Bergman spaces are reflexive.- Uniform boundness of the energy for time-periodic potentials.- Homology in Banach and polynormed algebras: some results and problems.- Large analytic functions.- Toeplitz operators on the Segal—Bargmann space of infinitely many variables.- A note on perturbations of selfadjoint operators in Krein spaces.- Projective representations of compact groups in C*-algebras.- On the general stable rank for pairs.- Wiener-Hopf operators on the positive semigroup of a Heisenberg group.- Derivations of certain nest-subalgebras of von Neumann algebras.- Boolean algebras of projections and spectral measures in dual spaces.- A vector extension of Loewner’s differential equation.- A RKHS on entire functions and its multiplication operator. An explicit example.- Joint spectral properties for pairs of permutable selfadjoint transformations.- Holomorphic functions taking their values in a quotient bornological space.- On causal nets of algebras.- On uniform dual algebras.