Recent advances in operator theory and applications

A Connection between Szego and Nehari Sequences in the Matrix-valued Case.- Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization.- Some Problems Concerning the Test Functions in the Szego and Avram-Parter Theorems.- On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities.- Spectrum and Principal Function of Operators.- Spectral Consequences due to General Holder's Inequalities and Domination of Semigroups.- Quadratically Hyponormal Recursively Generated Weighted Shifts.- Relaxed Commutant Lifting: An Equivalent Version and a New Application.- Variants of Ando-Hiai Inequality.- On Local Spectral Theory.- The Finite Sections Approach to the Index Formula for Band-dominated Operators.- A New Proof that Rudin's Module is not Finitely Generated.- Quasinilpotent Part of class A or (p, k)-quasihyponormal Operators.- A New Majorization Induced by Matrix Order.- H ? Functional Calculus and Characterization of Domains of Fractional Powers.- Operators on Locally Convex Spaces.