Topics in Operator Theory and Interpolation : Essays dedicated to M. S. Livsic on the occasion of his 70th birthday (Operator Theory: Advances and Applications)

§04§Content.- On skew Toeplitz Operators, I.- On local index and the cocycle property for Lefschetz numbers.- Completing a matrix so as to minimize the rank.- The generalized Schur algorithm: Approximation and hierarchy.- A new class of contractive interpolants and maximum entropy principles.- Distance formulas for operator algebras arising in optimal control problems.- On the Schur representation in the commutant lifting theorem II.- Nodes and realizations of rational matrix functions: Minimality theory and applications.- On the multiplicity of the commutant of operators.