4 papers
Relations on noncommutative variables and associated orthogonal polynomials
T. Banks, T. Constantinescu, J. L. Johnson
This semi-expository paper surveys results concerning three classes of orthogonal polynomials: in one non-hermitian variable, in several isometric non-commuting variables, and in s…
Tensor algebras and displacement structure. II. Noncommutative Szego polynomials
T. Constantinescu, J. L. Johnson
In this paper we continue to explore the connection between tensor algebras and displacement structure. We focus on recursive orthonormalization and we develop an analogue of the S…
Tensor algebras, displacement structure, and the Schur algorithm
T. Constantinescu, J. L. Johnson
In this paper we explore the connection between tensor algebras and displacement structure. We describe a scattering experiment in this framework, we obtain a realization of the el…
A note on noncommutative interpolation
T. Constantinescu, J. L. Johnson
In this paper we formulate and solve Nevanlinna-Pick and Carathéodory type problems for tensor algebras with data given on the N-dimensional operator unit ball of a Hilbert space.…