Operator Theory

List of Publications of M. S. Livsic.- Vortices of 2D Systems.- Realization and Factorization in Reproducing Kernel Pontryagin Spaces.- Models of Contractions Constructed from the Defect Function of Their Characteristic Functions.- Measure Schur Complements and Spectral Functions of Unitary Operators with Respect to Different Scales.- On the Second Order Interpolation for Rational Vector Functions.- Generalized Moments, Center-focus Conditions, and Compositions of Polynomials.- Inverse Spectral Problem for the Sturm-Liouville Operator with Eigenvalue Parameter Dependent Boundary Condition.- A Module Approach to Commutant Lifting on Kre?n Spaces.- On Dual Canonical Systems and Dual Matrix String Equations.- Angle between Subspaces of Analytic and Antianalytic Functions in Weighted L2 Spaces on the Boundary of a Multiply Connected Domain.- Bitangential Interpolation for Upper Triangular Operators with Infinitely Many Interpolation Nodes.- Some Applications of Operator-valued Herglotz Functions.- Analogues of a Theorem of Frostman on Linear Fractional Transformations of Inner Functions and the Typical Spectral Structure of Analytic Families of Weak Contractions.- Right and Left Joint System Representation of a Rational Matrix Function in General Position (System Representation Theory for Dummies).- One-parameter Semigroups of Fractional-linear Transformations.- Scattering from an Impurity: Lax-Phillips Approach.- Spectral Theory of Wiener-Hopf Operators and Functional Model.- Operator Dilations with Prescribed Commutators.- Condition of Orthogonality of Spectral Matrix Function.- Functional Models of Linear Operators.- Non-self-adjoint Periodic Dirac Operators.- A Note on Hyponormal Operators Associated with Quadrature Domains.- Two Remarks on Fuchsian Groups of Widom Type.- A Functional Model for the Lie Algebra SL(2, ?) of Linear Non-self-adjoint Operators.