Modern Operator Theory and Applications

Coefficients Averaging for Functional Operators Generated by Irrational Rotation.- On the Verification of Linear Equations and the Identification of the Toeplitz-plus-Hankel Structure.- Asymmetric Factorizations of Matrix Functions on the Real Line.- On the Structure of the Square of a C 0(1) Operator.- On the Connection Between the Indices of a Block Operator Matrix and of its Determinant.- Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant.- Double Barrier Options Under Lévy Processes.- A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras.- Boundedness in Lebesgue Spaces with Variable Exponent of the Cauchy Singular Operator on Carleson Curves.- On the Averaging Method for the Problem of Heat Convection in the Field of Highly-Oscillating Forces.- Finite Sections of Band-dominated Operators with Almost Periodic Coefficients.- On the Toeplitz Operators with Piecewise Continuous Symbols on the Bergman Space.- Asymptotics of a Class of Operator Determinants.