Recent Advances in Operator Theory and Related Topics

Inverse problems associated to a canonical differential system.- Construction of Schwarz norms.- On the class of extremal extensions of a nonnegative operator.- On Livšic—Brodskii nodes with strongly regular J-inner characteristic matrix functions in the Hardy class.- Scalar perturbations of the Sz.-Nagy—Foias charac-teristic function.- Inequalities for eigenvalues of sums in a von Neu-mann algebra.- Weighted variants of the Three Chains Completion Theorem.- Semigroups in finite von Neumann algebras.- Singly generated algebras containing a coin-pact operator.- Analytic extension of vector valued functions.- On quotient modules.- On the structure of spherical contractions.- Apostol’s bilateral weighted shifts are hyper-reflexive.- Wielandt type extensions of the Heinz—Kato—Furuta inequality.- Logarithmic order and dual logarithmic order.- On the generalized von Neumann inequality.- Ultraproducts of C*-algebras.- Intertwining extensions and a two-sided corona problem.- On self-polar Hilbertian norms on (indefinite) inner productspaces.- Schur norms and the multivariate von Neumann inequality.- Spectral properties of selfadjoint Jacobi matrices coming from birth and death processes.- On the hyperinvariant subspace problem for asymptotically non-vanishing contractions.- Unstable dynamics on a Markov background and stability in average.- A relation for the spectral shift function of two self-adjoint extensions.- Beppo Levi and Lebesgue type theorems for bundle convergence in noncommutative L2-spaces.- *-semigroup endomorphisms of B(H).- Spectral singularities, Szökefalvi-Nagy—Foias functional model and the spectral analysis of the Boltzmann operator.- Uniqueness of invariant measures for the stochastic Cauchy problem in Banach spaces.- The Friedrichs operator of a planar domain. II.- Localization of the Wielandt—Wintner Theorem.- Order and square roots in hermitian Banach *-algebras.- Unitary dilation of several contractions.- Inequalities for semibounded operators and their applications to log-hyponormal operators.- Operator moment problems in unbounded sets.- The argument principle and boundaries of analytic varieties.- Conference Program.- List of Participants.